Quizbank/Calculus Physics I/T4study

1. A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

___a) 5.01E-1 m/s

___b) 6.08E-1 m/s

___c) 7.36E-1 m/s

___d) 8.92E-1 m/s

___e) 1.08E0 m/s

2. A 6.4 cm diameter pipe can fill a 1.6 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

___a) 4.64E3

___b) 5.62E3

___c) 6.81E3

___d) 8.25E3

___e) 9.99E3

3. A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 34.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

___a) 1.23E2 mm

___b) 1.48E2 mm

___c) 1.80E2 mm

___d) 2.18E2 mm

___e) 2.64E2 mm

4. A large cylinder is filled with water so that the bottom is 5.7 m below the waterline. At the bottom is a small hole with a diameter of 5.7E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

___a) 5.94E0 m/s

___b) 7.20E0 m/s

___c) 8.72E0 m/s

___d) 1.06E1 m/s

___e) 1.28E1 m/s

5. What is the root-mean-square of 9, -17, and -8?

___a) 1.203 x 10¹

___b) 1.35 x 10¹

___c) 1.514 x 10¹

___d) 1.699 x 10¹

___e) 1.906 x 10¹

6. What is the rms speed of a molecule with an atomic mass of 14 if the temperature is 22 degrees Fahrenheit?

___a) 6.9 x 10² m/s

___b) 8.37 x 10² m/s

___c) 1.01 x 10³ m/s

___d) 1.23 x 10³ m/s

___e) 1.49 x 10³ m/s

7. If a molecule with atomic mass equal to 7 amu has a speed of 253 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 26 ?

___a) 1.31 x 10² m/s

___b) 1.59 x 10² m/s

___c) 1.93 x 10² m/s

___d) 2.33 x 10² m/s

___e) 2.83 x 10² m/s

8. The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.68 kg is filled with 0.17 kg of water. How much heat does it take to raise both from 47.8 C to 83.2 C?

___a) 3.37 x 10⁴ J

___b) 3.98 x 10⁴ J

___c) 4.69 x 10⁴ J

___d) 5.52 x 10⁴ J

___e) 6.51 x 10⁴ J

9. {The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.68 kg is filled with 0.17 kg of water. What fraction of the heat went into the aluminum?

___a) 2.8 x 10^-1

___b) 3.3 x 10^-1

___c) 3.9 x 10^-1

___d) 4.6 x 10^-1

___e) 5.5 x 10^-1

10. The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

___a) 1.64 x 10⁰ km

___b) 1.99 x 10⁰ km

___c) 2.41 x 10⁰ km

___d) 2.92 x 10⁰ km

___e) 3.54 x 10⁰ km

11. A window is square, with a length of each side equal to 0.78 meters. The glass has a thickness of 11 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.31. You also increase the thickness of the glass by a factor of 2.97. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

___a) 2.37 x 10⁰ unit

___b) 2.87 x 10⁰ unit

___c) 3.47 x 10⁰ unit

___d) 4.21 x 10⁰ unit

___e) 5.1 x 10⁰ unit

12.

A 1241 heat cycle uses 2.1 moles of an ideal gas. The pressures and volumes are: P₁= 2.8 kPa, P₂= 5.6 kPa. The volumes are V₁= 2.1m³ and V₄= 4.8m³. How much work is done in in one cycle?

___a) 3.78 x 10² J

___b) 1.2 x 10³ J

___c) 3.78 x 10³ J

___d) 1.2 x 10⁴ J

___e) 3.78 x 10⁴ J

13.

A 1241 heat cycle uses 1.3 moles of an ideal gas. The pressures and volumes are: P₁= 1.6 kPa, P₂= 4.3 kPa. The volumes are V₁= 1.6m³ and V₄= 3.2m³. How much work is involved between 1 and 4?

___a) 2.56 x 10³ J

___b) 8.1 x 10³ J

___c) 2.56 x 10⁴ J

___d) 8.1 x 10⁴ J

___e) 2.56 x 10⁵ J

14.

A 1241 heat cycle uses 2.5 moles of an ideal gas. The pressures and volumes are: P₁= 3 kPa, P₂= 5.4 kPa. The volumes are V₁= 2.6m³ and V₄= 5m³. How much work is involved between 2 and 4?

___a) 1.01 x 10² J

___b) 3.19 x 10² J

___c) 1.01 x 10³ J

___d) 3.19 x 10³ J

___e) 1.01 x 10⁴ J

15.

A 1241 heat cycle uses 1.5 moles of an ideal gas. The pressures and volumes are: P₁= 2.6 kPa, P₂= 5.7 kPa. The volumes are V₁= 2.7m³ and V₄= 5.5m³. What is the temperature at step 4?

___a) 1.15 x 10³ K

___b) 3.63 x 10³ K

___c) 1.15 x 10⁴ K

___d) 3.63 x 10⁴ K

___e) 1.15 x 10⁵ K

16. These two pulses will collide and produce

___ a) positive diffraction

___ b) positive interference

___ c) negative interference

___ d) negative diffraction

17. These two pulses will collide and produce

___ a) positive interference

___ b) negative interference

___ c) positive diffraction

___ d) negative diffraction

18. These two pulses will collide and produce

___ a) positive interference

___ b) positive diffraction

___ c) negative interference

___ d) negative diffraction

19. Two signals (dashed) add to a solid

___ a) dissonance

___ b) fifth

___ c) octave

20. Two signals (dashed) add to a solid

___ a) octave

___ b) dissonance

___ c) fifth

21. Two signals (dashed) add to a solid

___ a) octave

___ b) fifth

___ c) dissonance

22. Why don't we hear beats when two different notes on a piano are played at the same time?

___ a) The beats happen so many times per second you can't hear them.

___ b) Echo usually stifles the beats

___ c) The note is over by the time the first beat is heard

___ d) Reverberation usually stifles the beats

23. A tuning fork with a frequency of 440 Hz is played simultaneously with a tuning fork of 442 Hz. How many beats are heard in 10 seconds?

___ a) 20

___ b) 50

___ c) 30

___ d) 40

___ e) 60

24. If you start moving towards a source of sound, the pitch becomes

___ a) unchanged

___ b) lower

___ c) higher

25. If a source of sound is moving towards you, the pitch becomes

___ a) higher

___ b) lower

___ c) unchanged

26. Why do rough walls give a concert hall a “fuller” sound, compared to smooth walls?

___ a) Rough walls make for a louder sound.

___ b) The difference in path lengths creates more echo.

___ c) The difference in path lengths creates more reverberation.

27. People don't usually perceive an echo when

___ a) it arrives at a lower pitch

___ b) it arrives at exactly the same pitch

___ c) it takes more than a tenth of a second after the original sound to arrive

___ d) it arrives less than a tenth of a second after the original sound

___ e) it arrives at a higher pitch

28. A dense rope is connected to a rope with less density (i.e. fewer kilograms per meter). If the rope is stretched and a wave is sent along high density rope,

___ a) the low density rope supports a wave with a lower frequency

___ b) the low density rope supports a wave with a lower speed

___ c) the low density rope supports a wave with a higher speed

___ d) the low density rope supports a wave with a higher frequency

29. What happens to the wavelength on a wave on a stretched string if the wave passes from lightweight (low density) region of the rope to a heavy (high density) rope?

___ a) the wavelength gets shorter

___ b) the wavelength gets longer

___ c) the wavelength stays the same

30. When a wave is reflected off a stationary barrier, the reflected wave

___ a) has higher frequency than the incident wave

___ b) both of these are true

___ c) has lower amplitude than the incident wave

31. Comparing a typical church to a professional baseball stadium, the church is likely to have

___ a) both reverberation and echo

___ b) reverberation instead of echo

___ c) echo instead of reverberation

___ d) neither reverberation nor echo

32. A 0.111 kg mass is on a spring that causes the frequency of oscillation to be 63 cycles per second. The maximum velocity is 20.3 m/s. What is the maximum force on the mass?

___a) 1.9 x 10² N

___b) 4.1 x 10² N

___c) 8.9 x 10² N

___d) 1.9 x 10³ N

___e) 4.1 x 10³ N

33. A spring with spring constant 9.6 kN/m is attached to a 9.1 gram mass. The maximum acelleration is 1.6 m/s². What is the maximum displacement?

___a) 4.8 x 10^-7 m

___b) 1.52 x 10^-6 m

___c) 4.8 x 10^-6 m

___d) 1.52 x 10^-5 m

___e) 4.8 x 10^-5 m

34. A spring of spring constant 6.9 kN/m causes a mass to move with a period of 8.6 ms. The maximum displacement is 2.3 mm. What is the maximum kinetic energy?

___a) 5.77 x 10^-3 J

___b) 1.83 x 10^-2 J

___c) 5.77 x 10^-2 J

___d) 1.83 x 10^-1 J

___e) 5.77 x 10^-1 J

35. A spring with spring constant 7.7 kN/m undergoes simple harmonic motion with a frequency of 4.4 kHz. The maximum force is 9.4 N. What is the total energy?

___a) 5.74 x 10^-5 J

___b) 1.81 x 10^-4 J

___c) 5.74 x 10^-4 J

___d) 1.81 x 10^-3 J

___e) 5.74 x 10^-3 J

36. If a particle's position is given by x(t) = 7sin(3t-π/6), what is the velocity?

___ a) v(t) = 21sin(3t-π/6)

___ b) v(t) = 7cos(3t-π/6)

___ c) v(t) = -21sin(3t-π/6)

___ d) v(t) = 21cos(3t-π/6)

___ e) v(t) = -21cos(3t-π/6)

37. If a particle's position is given by x(t) = 7sin(3t-π/6), what is the acceleration?

___ a) a(t) = -21sin(3t-π/6)

___ b) a(t) = +63sin(3t-π/6)

___ c) a(t) = -63sin(3t-π/6)

___ d) a(t) = +21sin(3t-π/6)

___ e) a(t) = -21cos(3t-π/6)

38. If a particle's position is given by x(t) = 5cos(4t-π/6), what is the velocity?

___ a) v(t) = -20sin(4t-π/6)

___ b) v(t) = 20sin(4t-π/6)

___ c) v(t) = 5sin(4t-π/6)

___ d) v(t) = -20cos(4t-π/6)

___ e) v(t) = 20cos(4t-π/6)

39. If a particle's position is given by x(t) = 5sin(4t-π/6), what is the velocity?

___ a) v(t) = 20cos(4t-π/6)

___ b) v(t) = -20cos(4t-π/6)

___ c) v(t) = 5cos(4t-π/6)

___ d) v(t) = -20sin(4t-π/6)

___ e) v(t) = 20sin(4t-π/6)

40. If a particle's position is given by x(t) = 7cos(3t-π/6), what is the velocity?

___ a) v(t) = 21cos(3t-π/6)

___ b) v(t) = -21cos(3t-π/6)

___ c) v(t) = 21sin(3t-π/6)

___ d) v(t) = -21sin(3t-π/6)

___ e) v(t) = 7sin(3t-π/6)

41. If a particle's position is given by x(t) = 5sin(4t-π/6), what is the acceleration?

___ a) a(t) = +20sin(4t-π/6)

___ b) a(t) = +80sin(4t-π/6)

___ c) a(t) = -100sin(4t-π/6)

___ d) a(t) = -100cos(4t-π/6)

___ e) a(t) = -80sin(4t-π/6)

1. A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). What is the speed in the first (wider) pipe?

+a) 5.01E-1 m/s

-b) 6.08E-1 m/s

-c) 7.36E-1 m/s

-d) 8.92E-1 m/s

-e) 1.08E0 m/s

2. A 6.4 cm diameter pipe can fill a 1.6 m^3 volume in 4.0 minutes. Before exiting the pipe, the diameter is reduced to 4.8 cm (with no loss of flow rate). What is the pressure difference (in Pascals) between the two regions of the pipe?

+a) 4.64E3

-b) 5.62E3

-c) 6.81E3

-d) 8.25E3

-e) 9.99E3

3. A 9.2 cm diameter pipe can fill a 1.6 m^3 volume in 8.0 minutes. Before exiting the pipe, the diameter is reduced to 4.0 cm (with no loss of flow rate). If two fluid elements at the center of the pipe are separated by 34.0 mm when they are both in the wide pipe, and we neglect turbulence, what is the separation when both are in the narrow pipe?

-a) 1.23E2 mm

-b) 1.48E2 mm

+c) 1.80E2 mm

-d) 2.18E2 mm

-e) 2.64E2 mm

4. A large cylinder is filled with water so that the bottom is 5.7 m below the waterline. At the bottom is a small hole with a diameter of 5.7E-4 m. How fast is the water flowing at the hole? (Neglect viscous effects, turbulence, and also assume that the hole is so small that no significant motion occurs at the top of the cylinder.)

-a) 5.94E0 m/s

-b) 7.20E0 m/s

-c) 8.72E0 m/s

+d) 1.06E1 m/s

-e) 1.28E1 m/s

5. What is the root-mean-square of 9, -17, and -8?

+a) 1.203 x 10¹

-b) 1.35 x 10¹

-c) 1.514 x 10¹

-d) 1.699 x 10¹

-e) 1.906 x 10¹

6. What is the rms speed of a molecule with an atomic mass of 14 if the temperature is 22 degrees Fahrenheit?

+a) 6.9 x 10² m/s

-b) 8.37 x 10² m/s

-c) 1.01 x 10³ m/s

-d) 1.23 x 10³ m/s

-e) 1.49 x 10³ m/s

7. If a molecule with atomic mass equal to 7 amu has a speed of 253 m/s, what is the speed at an atom in the same atmosphere of a molecule with an atomic mass of 26 ?

+a) 1.31 x 10² m/s

-b) 1.59 x 10² m/s

-c) 1.93 x 10² m/s

-d) 2.33 x 10² m/s

-e) 2.83 x 10² m/s

8. The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.68 kg is filled with 0.17 kg of water. How much heat does it take to raise both from 47.8 C to 83.2 C?

-a) 3.37 x 10⁴ J

-b) 3.98 x 10⁴ J

+c) 4.69 x 10⁴ J

-d) 5.52 x 10⁴ J

-e) 6.51 x 10⁴ J

9. {The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.68 kg is filled with 0.17 kg of water. What fraction of the heat went into the aluminum?

-a) 2.8 x 10^-1

-b) 3.3 x 10^-1

-c) 3.9 x 10^-1

+d) 4.6 x 10^-1

-e) 5.5 x 10^-1

10. The specific heat of water and aluminum are 4186 and 900, respectively, where the units are J/kg/Celsius. An aluminum container of mass 0.66 kg is filled with 0.11 kg of water. You are consulting for the flat earth society, a group of people who believe that the acceleration of gravity equals 9.8 m/s/s at all altitudes. Based on this assumption, from what height must the water and container be dropped to achieve the same change in temperature? (For comparison, Earth's radius is 6,371 kilometers)

-a) 1.64 x 10⁰ km

-b) 1.99 x 10⁰ km

-c) 2.41 x 10⁰ km

+d) 2.92 x 10⁰ km

-e) 3.54 x 10⁰ km

11. A window is square, with a length of each side equal to 0.78 meters. The glass has a thickness of 11 mm. To decrease the heat loss, you reduce the size of the window by decreasing the length of each side by a factor of 1.31. You also increase the thickness of the glass by a factor of 2.97. If the inside and outside temperatures are unchanged, by what factor have you decreased the heat flow?. By what factor have you decreased the heat flow (assuming the same inside and outside temperatures).

-a) 2.37 x 10⁰ unit

-b) 2.87 x 10⁰ unit

-c) 3.47 x 10⁰ unit

-d) 4.21 x 10⁰ unit

+e) 5.1 x 10⁰ unit

12.

A 1241 heat cycle uses 2.1 moles of an ideal gas. The pressures and volumes are: P₁= 2.8 kPa, P₂= 5.6 kPa. The volumes are V₁= 2.1m³ and V₄= 4.8m³. How much work is done in in one cycle?

-a) 3.78 x 10² J

-b) 1.2 x 10³ J

+c) 3.78 x 10³ J

-d) 1.2 x 10⁴ J

-e) 3.78 x 10⁴ J

13.

A 1241 heat cycle uses 1.3 moles of an ideal gas. The pressures and volumes are: P₁= 1.6 kPa, P₂= 4.3 kPa. The volumes are V₁= 1.6m³ and V₄= 3.2m³. How much work is involved between 1 and 4?

+a) 2.56 x 10³ J

-b) 8.1 x 10³ J

-c) 2.56 x 10⁴ J

-d) 8.1 x 10⁴ J

-e) 2.56 x 10⁵ J

14.

A 1241 heat cycle uses 2.5 moles of an ideal gas. The pressures and volumes are: P₁= 3 kPa, P₂= 5.4 kPa. The volumes are V₁= 2.6m³ and V₄= 5m³. How much work is involved between 2 and 4?

-a) 1.01 x 10² J

-b) 3.19 x 10² J

-c) 1.01 x 10³ J

-d) 3.19 x 10³ J

+e) 1.01 x 10⁴ J

15.

A 1241 heat cycle uses 1.5 moles of an ideal gas. The pressures and volumes are: P₁= 2.6 kPa, P₂= 5.7 kPa. The volumes are V₁= 2.7m³ and V₄= 5.5m³. What is the temperature at step 4?

+a) 1.15 x 10³ K

-b) 3.63 x 10³ K

-c) 1.15 x 10⁴ K

-d) 3.63 x 10⁴ K

-e) 1.15 x 10⁵ K

16. These two pulses will collide and produce

- a) positive diffraction

+ b) positive interference

- c) negative interference

- d) negative diffraction

17. These two pulses will collide and produce

- a) positive interference

+ b) negative interference

- c) positive diffraction

- d) negative diffraction

18. These two pulses will collide and produce

+ a) positive interference

- b) positive diffraction

- c) negative interference

- d) negative diffraction

19. Two signals (dashed) add to a solid

- a) dissonance

- b) fifth

+ c) octave

20. Two signals (dashed) add to a solid

- a) octave

+ b) dissonance

- c) fifth

21. Two signals (dashed) add to a solid

- a) octave

+ b) fifth

- c) dissonance

22. Why don't we hear beats when two different notes on a piano are played at the same time?

+ a) The beats happen so many times per second you can't hear them.

- b) Echo usually stifles the beats

- c) The note is over by the time the first beat is heard

- d) Reverberation usually stifles the beats

23. A tuning fork with a frequency of 440 Hz is played simultaneously with a tuning fork of 442 Hz. How many beats are heard in 10 seconds?

+ a) 20

- b) 50

- c) 30

- d) 40

- e) 60

24. If you start moving towards a source of sound, the pitch becomes

- a) unchanged

- b) lower

+ c) higher

25. If a source of sound is moving towards you, the pitch becomes

+ a) higher

- b) lower

- c) unchanged

26. Why do rough walls give a concert hall a “fuller” sound, compared to smooth walls?

- a) Rough walls make for a louder sound.

- b) The difference in path lengths creates more echo.

+ c) The difference in path lengths creates more reverberation.

27. People don't usually perceive an echo when

- a) it arrives at a lower pitch

- b) it arrives at exactly the same pitch

- c) it takes more than a tenth of a second after the original sound to arrive

+ d) it arrives less than a tenth of a second after the original sound

- e) it arrives at a higher pitch

28. A dense rope is connected to a rope with less density (i.e. fewer kilograms per meter). If the rope is stretched and a wave is sent along high density rope,

- a) the low density rope supports a wave with a lower frequency

- b) the low density rope supports a wave with a lower speed

+ c) the low density rope supports a wave with a higher speed

- d) the low density rope supports a wave with a higher frequency

29. What happens to the wavelength on a wave on a stretched string if the wave passes from lightweight (low density) region of the rope to a heavy (high density) rope?

- a) the wavelength gets shorter

+ b) the wavelength gets longer

- c) the wavelength stays the same

30. When a wave is reflected off a stationary barrier, the reflected wave

- a) has higher frequency than the incident wave

- b) both of these are true

+ c) has lower amplitude than the incident wave

31. Comparing a typical church to a professional baseball stadium, the church is likely to have

- a) both reverberation and echo

+ b) reverberation instead of echo

- c) echo instead of reverberation

- d) neither reverberation nor echo

32. A 0.111 kg mass is on a spring that causes the frequency of oscillation to be 63 cycles per second. The maximum velocity is 20.3 m/s. What is the maximum force on the mass?

-a) 1.9 x 10² N

-b) 4.1 x 10² N

+c) 8.9 x 10² N

-d) 1.9 x 10³ N

-e) 4.1 x 10³ N

33. A spring with spring constant 9.6 kN/m is attached to a 9.1 gram mass. The maximum acelleration is 1.6 m/s². What is the maximum displacement?

-a) 4.8 x 10^-7 m

+b) 1.52 x 10^-6 m

-c) 4.8 x 10^-6 m

-d) 1.52 x 10^-5 m

-e) 4.8 x 10^-5 m

34. A spring of spring constant 6.9 kN/m causes a mass to move with a period of 8.6 ms. The maximum displacement is 2.3 mm. What is the maximum kinetic energy?

-a) 5.77 x 10^-3 J

+b) 1.83 x 10^-2 J

-c) 5.77 x 10^-2 J

-d) 1.83 x 10^-1 J

-e) 5.77 x 10^-1 J

35. A spring with spring constant 7.7 kN/m undergoes simple harmonic motion with a frequency of 4.4 kHz. The maximum force is 9.4 N. What is the total energy?

-a) 5.74 x 10^-5 J

-b) 1.81 x 10^-4 J

-c) 5.74 x 10^-4 J

-d) 1.81 x 10^-3 J

+e) 5.74 x 10^-3 J

36. If a particle's position is given by x(t) = 7sin(3t-π/6), what is the velocity?

- a) v(t) = 21sin(3t-π/6)

- b) v(t) = 7cos(3t-π/6)

- c) v(t) = -21sin(3t-π/6)

+ d) v(t) = 21cos(3t-π/6)

- e) v(t) = -21cos(3t-π/6)

37. If a particle's position is given by x(t) = 7sin(3t-π/6), what is the acceleration?

- a) a(t) = -21sin(3t-π/6)

- b) a(t) = +63sin(3t-π/6)

+ c) a(t) = -63sin(3t-π/6)

- d) a(t) = +21sin(3t-π/6)

- e) a(t) = -21cos(3t-π/6)

38. If a particle's position is given by x(t) = 5cos(4t-π/6), what is the velocity?

+ a) v(t) = -20sin(4t-π/6)

- b) v(t) = 20sin(4t-π/6)

- c) v(t) = 5sin(4t-π/6)

- d) v(t) = -20cos(4t-π/6)

- e) v(t) = 20cos(4t-π/6)

39. If a particle's position is given by x(t) = 5sin(4t-π/6), what is the velocity?

+ a) v(t) = 20cos(4t-π/6)

- b) v(t) = -20cos(4t-π/6)

- c) v(t) = 5cos(4t-π/6)

- d) v(t) = -20sin(4t-π/6)

- e) v(t) = 20sin(4t-π/6)

40. If a particle's position is given by x(t) = 7cos(3t-π/6), what is the velocity?

- a) v(t) = 21cos(3t-π/6)

- b) v(t) = -21cos(3t-π/6)

- c) v(t) = 21sin(3t-π/6)

+ d) v(t) = -21sin(3t-π/6)

- e) v(t) = 7sin(3t-π/6)

41. If a particle's position is given by x(t) = 5sin(4t-π/6), what is the acceleration?

- a) a(t) = +20sin(4t-π/6)

- b) a(t) = +80sin(4t-π/6)

- c) a(t) = -100sin(4t-π/6)

- d) a(t) = -100cos(4t-π/6)

+ e) a(t) = -80sin(4t-π/6)