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TrigPhys_I_T1_Study

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TrigPhys_I_T1_Study-v1s1

1. A car traveling at 42.8 miles/hour stops in 7.5 seconds. What is the average acceleration?

___a) 8.07 x 10-1 m/s2
___b) 1.43 x 100 m/s2
___c) 2.55 x 100 m/s2
___d) 4.54 x 100 m/s2
___e) 8.07 x 100 m/s2

2. A car completes a complete circle of radius 1.2 miles at a speed of 42 miles per hour. How many minutes does it take?

___a) 3.41 x 100 minutes
___b) 4.54 x 100 minutes
___c) 6.06 x 100 minutes
___d) 8.08 x 100 minutes
___e) 1.08 x 101 minutes

3. A car traveling at 32.9 mph increases its speed to 35.1 mph in 4.6 seconds. What is the average acceleration?

___a) 2.14 x 10-1 m/s2
___b) 3.8 x 10-1 m/s2
___c) 6.76 x 10-1 m/s2
___d) 1.2 x 100 m/s2
___e) 2.14 x 100 m/s2

4. Mr. Smith is backing his car at a speed of 3.06 mph when he hits a cornfield (seed corn). In the course of 1.29 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.6 mph. What was the magnitude ( absolute value) of his acceleration?

___a) 3.36 x 100 miles per hour per second
___b) 4.24 x 100 miles per hour per second
___c) 5.33 x 100 miles per hour per second
___d) 6.71 x 100 miles per hour per second
___e) 8.45 x 100 miles per hour per second

5. A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

___a) 5.39 m/s.
___b) 6.47 m/s.
___c) 7.76 m/s.
___d) 9.31 m/s.
___e) 11.18 m/s.

6. What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

___a) 6.66m/s2.
___b) 7.99m/s2.
___c) 9.59m/s2.
___d) 11.51m/s2.
___e) 13.81m/s2.

7. A train accelerates uniformly from 17.75 m/s to 31.625 m/s, while travelling a distance of 372 m. What is the 'average' acceleration?

___a) 0.77m/s/s.
___b) 0.92m/s/s.
___c) 1.1m/s/s.
___d) 1.33m/s/s.
___e) 1.59m/s/s.

8. A particle accelerates uniformly at 16 m/s/s. How long does it take for the velocity to increase from 981 m/s to 1816 m/s?

___a) 30.2 s
___b) 36.24 s
___c) 43.49 s
___d) 52.19 s
___e) 62.63 s

9. Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

___ a) 6.0 meters
___ b) 5.0 meters
___ c) 7.0 meters
___ d) 3.0 meters
___ e) 4.0 meters

10. Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

___ a) 8.0 meters
___ b) 11.0 meters
___ c) 10.0 meters
___ d) 7.0 meters
___ e) 9.0 meters

11. Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

___ a) 9.0 meters
___ b) 12.0 meters
___ c) 11.0 meters
___ d) 8.0 meters
___ e) 10.0 meters

12. Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

___ a) 9.0 meters
___ b) 6.0 meters
___ c) 5.0 meters
___ d) 8.0 meters
___ e) 7.0 meters

13. Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

___ a) 8.0 meters
___ b) 11.0 meters
___ c) 10.0 meters
___ d) 7.0 meters
___ e) 9.0 meters

14. Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

___ a) 20.0 meters
___ b) 21.0 meters
___ c) 22.0 meters
___ d) 19.0 meters
___ e) 23.0 meters

15. Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

___ a) 7.0 meters
___ b) 4.0 meters
___ c) 3.0 meters
___ d) 6.0 meters
___ e) 5.0 meters

16. Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

___ a) 9.0 meters
___ b) 12.0 meters
___ c) 10.0 meters
___ d) 8.0 meters
___ e) 11.0 meters

17. Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

___ a) 19.0 meters
___ b) 16.0 meters
___ c) 17.0 meters
___ d) 18.0 meters
___ e) 20.0 meters

18. Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

___ a) 5.0 meters
___ b) 4.0 meters
___ c) 2.0 meters
___ d) 1.0 meters
___ e) 3.0 meters

19. Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

___ a) 23.0 meters
___ b) 27.0 meters
___ c) 24.0 meters
___ d) 25.0 meters
___ e) 26.0 meters

20. Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

___ a) 14.0 meters
___ b) 15.0 meters
___ c) 13.0 meters
___ d) 16.0 meters
___ e) 17.0 meters

21. A ball is kicked horizontally from a height of 2 m, at a speed of 6.2m/s. How far does it travel before landing?

___a) 2.75 m.
___b) 3.3 m.
___c) 3.96 m.
___d) 4.75 m.
___e) 5.7 m.

22. A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.9 m/s2 in the y direction, as well as an acceleration of 0.9 in the x direction. What angle does the velocity make with the x axis at time t = 2.4 s?

___a) 27.27 degrees.
___b) 31.37 degrees.
___c) 36.07 degrees.
___d) 41.48 degrees.
___e) 47.7 degrees.

23. At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

___a) 0.23 s.
___b) 0.27 s.
___c) 0.33 s.
___d) 0.4 s.
___e) 0.47 s.

24. At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.19 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.76 m, and moves at a constant speed of 2.86 m/s in the +y direction. What is the value of θ (in radians)?

___a) 0.44 radians.
___b) 0.51 radians.
___c) 0.58 radians.
___d) 0.67 radians.
___e) 0.77 radians.

25. The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 23.3 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

___a) 70.9 m/s.
___b) 106.4 m/s.
___c) 159.5 m/s.
___d) 239.3 m/s.
___e) 358.9 m/s.

26. The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 23.7 m/s. What was the muzzle speed of her bullet?

___a) 15.9 m/s.
___b) 23.9 m/s.
___c) 35.9 m/s.
___d) 53.8 m/s.
___e) 80.7 m/s.

27. The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 23.8 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

___a) 10.5 m/s.
___b) 15.8 m/s.
___c) 23.7 m/s.
___d) 35.5 m/s.
___e) 53.2 m/s.

28. The Smith family got in trouble for having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 94.6 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

___a) 81.8 m/s.
___b) 98.2 m/s.
___c) 117.8 m/s.
___d) 141.4 m/s.
___e) 169.6 m/s.


Key to TrigPhys_I_T1_Study-v1s1

1. A car traveling at 42.8 miles/hour stops in 7.5 seconds. What is the average acceleration?

-a) 8.07 x 10-1 m/s2
-b) 1.43 x 100 m/s2
+c) 2.55 x 100 m/s2
-d) 4.54 x 100 m/s2
-e) 8.07 x 100 m/s2

2. A car completes a complete circle of radius 1.2 miles at a speed of 42 miles per hour. How many minutes does it take?

-a) 3.41 x 100 minutes
-b) 4.54 x 100 minutes
-c) 6.06 x 100 minutes
-d) 8.08 x 100 minutes
+e) 1.08 x 101 minutes

3. A car traveling at 32.9 mph increases its speed to 35.1 mph in 4.6 seconds. What is the average acceleration?

+a) 2.14 x 10-1 m/s2
-b) 3.8 x 10-1 m/s2
-c) 6.76 x 10-1 m/s2
-d) 1.2 x 100 m/s2
-e) 2.14 x 100 m/s2

4. Mr. Smith is backing his car at a speed of 3.06 mph when he hits a cornfield (seed corn). In the course of 1.29 seconds he stops, puts his car in forward drive, and exits the field at a speed of 5.6 mph. What was the magnitude ( absolute value) of his acceleration?

-a) 3.36 x 100 miles per hour per second
-b) 4.24 x 100 miles per hour per second
-c) 5.33 x 100 miles per hour per second
+d) 6.71 x 100 miles per hour per second
-e) 8.45 x 100 miles per hour per second

5. A car is accelerating uniformly at an acceleration of 3.95m/s/s. At x = 5.5m, the speed is 3.85m/s. How fast is it moving at x = 11.25 m?

-a) 5.39 m/s.
-b) 6.47 m/s.
+c) 7.76 m/s.
-d) 9.31 m/s.
-e) 11.18 m/s.

6. What is the acceleration if a car travelling at 10.95 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)

-a) 6.66m/s2.
-b) 7.99m/s2.
+c) 9.59m/s2.
-d) 11.51m/s2.
-e) 13.81m/s2.

7. A train accelerates uniformly from 17.75 m/s to 31.625 m/s, while travelling a distance of 372 m. What is the 'average' acceleration?

-a) 0.77m/s/s.
+b) 0.92m/s/s.
-c) 1.1m/s/s.
-d) 1.33m/s/s.
-e) 1.59m/s/s.

8. A particle accelerates uniformly at 16 m/s/s. How long does it take for the velocity to increase from 981 m/s to 1816 m/s?

-a) 30.2 s
-b) 36.24 s
-c) 43.49 s
+d) 52.19 s
-e) 62.63 s

9. Mr. Smith starts from rest and accelerates to 4 m/s in 3 seconds. How far did he travel?

+ a) 6.0 meters
- b) 5.0 meters
- c) 7.0 meters
- d) 3.0 meters
- e) 4.0 meters

10. Mr. Smith starts from rest and accelerates to 4 m/s in 5 seconds. How far did he travel?

- a) 8.0 meters
- b) 11.0 meters
+ c) 10.0 meters
- d) 7.0 meters
- e) 9.0 meters

11. Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

- a) 9.0 meters
+ b) 12.0 meters
- c) 11.0 meters
- d) 8.0 meters
- e) 10.0 meters

12. Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 2 seconds. He then travels at this speed for an additional 1 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

- a) 9.0 meters
+ b) 6.0 meters
- c) 5.0 meters
- d) 8.0 meters
- e) 7.0 meters

13. Mr. Smith is driving at a speed of 4 m/s, when he slows down to a speed of 1 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 8.0 meters
- b) 11.0 meters
+ c) 10.0 meters
- d) 7.0 meters
- e) 9.0 meters

14. Mr. Smith starts at rest and accelerates to a speed of 4 m/s, in 2 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 2 seconds to come to rest. How far did he travel?

+ a) 20.0 meters
- b) 21.0 meters
- c) 22.0 meters
- d) 19.0 meters
- e) 23.0 meters

15. Mr. Smith starts from rest and accelerates to 2 m/s in 3 seconds. How far did he travel?

- a) 7.0 meters
- b) 4.0 meters
+ c) 3.0 meters
- d) 6.0 meters
- e) 5.0 meters

16. Mr. Smith is driving at a speed of 5 m/s, when he slows down to a speed of 4 m/s, when he hits a wall at this speed, after travelling for 2 seconds. How far did he travel?

+ a) 9.0 meters
- b) 12.0 meters
- c) 10.0 meters
- d) 8.0 meters
- e) 11.0 meters

17. Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 19.0 meters
+ b) 16.0 meters
- c) 17.0 meters
- d) 18.0 meters
- e) 20.0 meters

18. Mr. Smith starts from rest and accelerates to 3 m/s in 2 seconds. How far did he travel?

- a) 5.0 meters
- b) 4.0 meters
- c) 2.0 meters
- d) 1.0 meters
+ e) 3.0 meters

19. Mr. Smith is driving at a speed of 7 m/s, when he slows down to a speed of 5 m/s, when he hits a wall at this speed, after travelling for 4 seconds. How far did he travel?

- a) 23.0 meters
- b) 27.0 meters
+ c) 24.0 meters
- d) 25.0 meters
- e) 26.0 meters

20. Mr. Smith starts at rest and accelerates to a speed of 2 m/s, in 6 seconds. He then travels at this speed for an additional 3 seconds. Then he decelerates uniformly, taking 4 seconds to come to rest. How far did he travel?

- a) 14.0 meters
- b) 15.0 meters
- c) 13.0 meters
+ d) 16.0 meters
- e) 17.0 meters

21. A ball is kicked horizontally from a height of 2 m, at a speed of 6.2m/s. How far does it travel before landing?

-a) 2.75 m.
-b) 3.3 m.
+c) 3.96 m.
-d) 4.75 m.
-e) 5.7 m.

22. A particle is initially at the origin and moving in the x direction at a speed of 4.1 m/s. It has an constant acceleration of 1.9 m/s2 in the y direction, as well as an acceleration of 0.9 in the x direction. What angle does the velocity make with the x axis at time t = 2.4 s?

-a) 27.27 degrees.
-b) 31.37 degrees.
+c) 36.07 degrees.
-d) 41.48 degrees.
-e) 47.7 degrees.

23. At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 7.34 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.22 m, and moves at a constant speed of 2.91 m/s in the +y direction. At what time do they meet?

-a) 0.23 s.
-b) 0.27 s.
+c) 0.33 s.
-d) 0.4 s.
-e) 0.47 s.

24. At time, t=0, two particles are on the x axis. Particle A is (initially) at the origin and moves at a constant speed of 5.19 m/s at an angle of θ above the x-axis. Particle B is initially situated at x= 2.76 m, and moves at a constant speed of 2.86 m/s in the +y direction. What is the value of θ (in radians)?

-a) 0.44 radians.
-b) 0.51 radians.
+c) 0.58 radians.
-d) 0.67 radians.
-e) 0.77 radians.

25. The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mr. Smith is at the back of the train and fires a pellet gun with a muzzle speed of 23.3 m/s at Mrs. Smith who is at the front of the train. What is the speed of the bullet with respect to Earth?

+a) 70.9 m/s.
-b) 106.4 m/s.
-c) 159.5 m/s.
-d) 239.3 m/s.
-e) 358.9 m/s.

26. The Smith family is having fun on a high speed train travelling at 47.6 m/s. Mrs. Smith, who is at the front of the train, fires straight towards the back with a bullet that is going forward with respect to Earth at a speed of 23.7 m/s. What was the muzzle speed of her bullet?

-a) 15.9 m/s.
+b) 23.9 m/s.
-c) 35.9 m/s.
-d) 53.8 m/s.
-e) 80.7 m/s.

27. The Smith family is having fun on a high speed train travelling at 47.6 m/s. The daugher fires at Mr. Smith with a pellet gun whose muzzle speed is 23.8 m/s. She was situated across the isle, perpendicular to the length of the train. What is the speed of her bullet with respect to Earth?

-a) 10.5 m/s.
-b) 15.8 m/s.
-c) 23.7 m/s.
-d) 35.5 m/s.
+e) 53.2 m/s.

28. The Smith family got in trouble for having fun on a high speed train travelling at 47.5 m/s. Mr. Smith is charged with having fired a pellet gun at his daughter (directly across the isle) with a bullet that had a speed of 94.6 m/s with respect to Earth. How fast was the bullet going relative to the daughter (i.e. train)?

+a) 81.8 m/s.
-b) 98.2 m/s.
-c) 117.8 m/s.
-d) 141.4 m/s.
-e) 169.6 m/s.


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http://en.wikiversity.org/w/index.php?title=How_things_work_college_course/Motion_simple_arithmetic&oldid=1395847
Study guide
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