Physics equations/02-One dimensional kinematics/Q:equations/Testbank

===2===
{<!--a02_1Dkinem_equations_1-->A car is accelerating uniformly at an acceleration of 3.75m/s/s.  At x =  5.25m, the speed is 3.55m/s.  How fast is it moving at x = 11.5 m?}
-a) 3.72 m/s.
-b) 4.46 m/s.
-c) 5.36 m/s.
-d) 6.43 m/s.
+e) 7.71 m/s.
===3===
{<!--a02_1Dkinem_equations_1-->A car is accelerating uniformly at an acceleration of 4.05m/s/s.  At x =  4m, the speed is 4.8m/s.  How fast is it moving at x = 12.5 m?}
-a) 6.66 m/s.
-b) 7.99 m/s.
+c) 9.59 m/s.
-d) 11.5 m/s.
-e) 13.8 m/s.
===4===
{<!--a02_1Dkinem_equations_1-->A car is accelerating uniformly at an acceleration of 3.6m/s/s.  At x =  6m, the speed is 3.7m/s.  How fast is it moving at x = 11.5 m?}
-a) 6.08 m/s.
+b) 7.3 m/s.
-c) 8.76 m/s.
-d) 10.51 m/s.
-e) 12.61 m/s.
===5===
{<!--a02_1Dkinem_equations_1-->A car is accelerating uniformly at an acceleration of 3.6m/s/s.  At x =  7.5m, the speed is 4.7m/s.  How fast is it moving at x = 11.5 m?}
-a) 4.95 m/s.
-b) 5.94 m/s.
+c) 7.13 m/s.
-d) 8.56 m/s.
-e) 10.27 m/s.
===6===
{<!--a02_1Dkinem_equations_1-->A car is accelerating uniformly at an acceleration of 3.8m/s/s.  At x =  4.5m, the speed is 3.6m/s.  How fast is it moving at x = 11.5 m?}
+a) 8.13 m/s.
-b) 9.76 m/s.
-c) 11.71 m/s.
-d) 14.06 m/s.
-e) 16.87 m/s.
===7===
{<!--a02_1Dkinem_equations_1-->A car is accelerating uniformly at an acceleration of 3.3m/s/s.  At x =  5.75m, the speed is 4.95m/s.  How fast is it moving at x = 13.75 m?}
-a) 5.09 m/s.
-b) 6.11 m/s.
-c) 7.33 m/s.
+d) 8.79 m/s.
-e) 10.55 m/s.
===8===
{<!--a02_1Dkinem_equations_1-->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.
===9===
{<!--a02_1Dkinem_equations_1-->A car is accelerating uniformly at an acceleration of 3.2m/s/s.  At x =  7.5m, the speed is 4m/s.  How fast is it moving at x = 12 m?}
-a) 4.65 m/s.
-b) 5.58 m/s.
+c) 6.69 m/s.
-d) 8.03 m/s.
-e) 9.64 m/s.
===10===
{<!--a02_1Dkinem_equations_1-->A car is accelerating uniformly at an acceleration of 2.6m/s/s.  At x =  5.5m, the speed is 3.2m/s.  How fast is it moving at x = 13.25 m?}
+a) 7.11 m/s.
-b) 8.53 m/s.
-c) 10.24 m/s.
-d) 12.28 m/s.
-e) 14.74 m/s.

===2===
{<!--a02_1Dkinem_equations_2-->What is the acceleration if a car travelling at 9.95 m/s makes a skid mark that is 7.5 m long before coming to rest? (Assume uniform acceleration.)}
-a) 5.5m/s<sup>2</sup>.
+b) 6.6m/s<sup>2</sup>.
-c) 7.92m/s<sup>2</sup>.
-d) 9.5m/s<sup>2</sup>.
-e) 11.41m/s<sup>2</sup>.
===3===
{<!--a02_1Dkinem_equations_2-->What is the acceleration if a car travelling at 7.7 m/s makes a skid mark that is 7 m long before coming to rest? (Assume uniform acceleration.)}
+a) 4.24m/s<sup>2</sup>.
-b) 5.08m/s<sup>2</sup>.
-c) 6.1m/s<sup>2</sup>.
-d) 7.32m/s<sup>2</sup>.
-e) 8.78m/s<sup>2</sup>.
===4===
{<!--a02_1Dkinem_equations_2-->What is the acceleration if a car travelling at 7.85 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)}
-a) 3.42m/s<sup>2</sup>.
-b) 4.11m/s<sup>2</sup>.
+c) 4.93m/s<sup>2</sup>.
-d) 5.92m/s<sup>2</sup>.
-e) 7.1m/s<sup>2</sup>.
===5===
{<!--a02_1Dkinem_equations_2-->What is the acceleration if a car travelling at 9.75 m/s makes a skid mark that is 8 m long before coming to rest? (Assume uniform acceleration.)}
-a) 2.87m/s<sup>2</sup>.
-b) 3.44m/s<sup>2</sup>.
-c) 4.13m/s<sup>2</sup>.
-d) 4.95m/s<sup>2</sup>.
+e) 5.94m/s<sup>2</sup>.
===6===
{<!--a02_1Dkinem_equations_2-->What is the acceleration if a car travelling at 8.45 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)}
-a) 2.43m/s<sup>2</sup>.
-b) 2.92m/s<sup>2</sup>.
-c) 3.5m/s<sup>2</sup>.
+d) 4.2m/s<sup>2</sup>.
-e) 5.04m/s<sup>2</sup>.
===7===
{<!--a02_1Dkinem_equations_2-->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/s<sup>2</sup>.
-b) 7.99m/s<sup>2</sup>.
+c) 9.59m/s<sup>2</sup>.
-d) 11.51m/s<sup>2</sup>.
-e) 13.81m/s<sup>2</sup>.
===8===
{<!--a02_1Dkinem_equations_2-->What is the acceleration if a car travelling at 10.9 m/s makes a skid mark that is 6.25 m long before coming to rest? (Assume uniform acceleration.)}
-a) 5.5m/s/2.
-b) 6.6m/s/2.
-c) 7.92m/s/2.
+d) 9.5m/s/2.
-e) 11.41m/s/2.
===9===
{<!--a02_1Dkinem_equations_2-->What is the acceleration if a car travelling at 9.8 m/s makes a skid mark that is 7.25 m long before coming to rest? (Assume uniform acceleration.)}
-a) 3.83m/s/2.
-b) 4.6m/s/2.
-c) 5.52m/s/2.
+d) 6.62m/s/2.
-e) 7.95m/s/2.
===10===
{<!--a02_1Dkinem_equations_2-->What is the acceleration if a car travelling at 8.35 m/s makes a skid mark that is 8.5 m long before coming to rest? (Assume uniform acceleration.)}
-a) 2.37m/s/2.
-b) 2.85m/s/2.
-c) 3.42m/s/2.
+d) 4.1m/s/2.
-e) 4.92m/s/2.

===2===
{<!--a02_1Dkinem_equations_3-->A train accelerates uniformly from 14.25 m/s to 29.625 m/s, while travelling a distance of 490 m.  What is the 'average' acceleration?}
-a) 0.48m/s/s.
-b) 0.57m/s/s.
+c) 0.69m/s/s.
-d) 0.83m/s/s.
-e) 0.99m/s/s.
===3===
{<!--a02_1Dkinem_equations_3-->A train accelerates uniformly from 17 m/s to 35.25 m/s, while travelling a distance of 151 m.  What is the 'average' acceleration?}
-a) 1.83m/s/s.
-b) 2.19m/s/s.
-c) 2.63m/s/s.
+d) 3.16m/s/s.
-e) 3.79m/s/s.
===4===
{<!--a02_1Dkinem_equations_3-->A train accelerates uniformly from 17 m/s to 29.75 m/s, while travelling a distance of 285 m.  What is the 'average' acceleration?}
-a) 0.5m/s/s.
-b) 0.61m/s/s.
-c) 0.73m/s/s.
-d) 0.87m/s/s.
+e) 1.05m/s/s.
===5===
{<!--a02_1Dkinem_equations_3-->A train accelerates uniformly from 9.75 m/s to 26.875 m/s, while travelling a distance of 371 m.  What is the 'average' acceleration?}
+a) 0.85m/s/s.
-b) 1.01m/s/s.
-c) 1.22m/s/s.
-d) 1.46m/s/s.
-e) 1.75m/s/s.
===6===
{<!--a02_1Dkinem_equations_3-->A train accelerates uniformly from 15.75 m/s to 30.375 m/s, while travelling a distance of 357 m.  What is the 'average' acceleration?}
-a) 0.55m/s/s.
-b) 0.66m/s/s.
-c) 0.79m/s/s.
+d) 0.94m/s/s.
-e) 1.13m/s/s.
===7===
{<!--a02_1Dkinem_equations_3-->A train accelerates uniformly from 12.75 m/s to 33.125 m/s, while travelling a distance of 272 m.  What is the 'average' acceleration?}
-a) 0.99m/s/s.
-b) 1.19m/s/s.
-c) 1.43m/s/s.
+d) 1.72m/s/s.
-e) 2.06m/s/s.
===8===
{<!--a02_1Dkinem_equations_3-->A train accelerates uniformly from 9.5 m/s to 24.5 m/s, while travelling a distance of 256 m.  What is the 'average' acceleration?}
+a) 1m/s/s.
-b) 1.2m/s/s.
-c) 1.43m/s/s.
-d) 1.72m/s/s.
-e) 2.07m/s/s.
===9===
{<!--a02_1Dkinem_equations_3-->A train accelerates uniformly from 10 m/s to 18.75 m/s, while travelling a distance of 263 m.  What is the 'average' acceleration?}
-a) 0.28m/s/s.
-b) 0.33m/s/s.
-c) 0.4m/s/s.
+d) 0.48m/s/s.
-e) 0.57m/s/s.
===10===
{<!--a02_1Dkinem_equations_3-->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.

===2===
{<!--a02_1Dkinem_equations_4-->A particle accelerates uniformly at 16.75 m/s/s.  How long does it take for the velocity to increase from  957 m/s to 1935 m/s?}
-a) 33.79 s
-b) 40.55 s
-c) 48.66 s
+d) 58.39 s
-e) 70.07 s
===3===
{<!--a02_1Dkinem_equations_4-->A particle accelerates uniformly at 10.75 m/s/s.  How long does it take for the velocity to increase from  1184 m/s to 2001 m/s?}
-a) 43.98 s
-b) 52.78 s
-c) 63.33 s
+d) 76 s
-e) 91.2 s
===4===
{<!--a02_1Dkinem_equations_4-->A particle accelerates uniformly at 17.25 m/s/s.  How long does it take for the velocity to increase from  761 m/s to 1698 m/s?}
-a) 45.27 s
+b) 54.32 s
-c) 65.18 s
-d) 78.22 s
-e) 93.86 s
===5===
{<!--a02_1Dkinem_equations_4-->A particle accelerates uniformly at 12.5 m/s/s.  How long does it take for the velocity to increase from  968 m/s to 1883 m/s?}
-a) 42.36 s
-b) 50.83 s
-c) 61 s
+d) 73.2 s
-e) 87.84 s
===6===
{<!--a02_1Dkinem_equations_4-->A particle accelerates uniformly at 12.5 m/s/s.  How long does it take for the velocity to increase from  1173 m/s to 1878 m/s?}
-a) 39.17 s
-b) 47 s
+c) 56.4 s
-d) 67.68 s
-e) 81.22 s
===7===
{<!--a02_1Dkinem_equations_4-->A particle accelerates uniformly at 11.5 m/s/s.  How long does it take for the velocity to increase from  1164 m/s to 2020 m/s?}
-a) 35.9 s
-b) 43.08 s
-c) 51.69 s
-d) 62.03 s
+e) 74.43 s
===8===
{<!--a02_1Dkinem_equations_4-->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===
{<!--a02_1Dkinem_equations_4-->A particle accelerates uniformly at 13 m/s/s.  How long does it take for the velocity to increase from  1024 m/s to 1888 m/s?}
-a) 46.15 s
-b) 55.38 s
+c) 66.46 s
-d) 79.75 s
-e) 95.7 s
===10===
{<!--a02_1Dkinem_equations_4-->A particle accelerates uniformly at 16.75 m/s/s.  How long does it take for the velocity to increase from  1210 m/s to 2087 m/s?}
+a) 52.36 s
-b) 62.83 s
-c) 75.4 s
-d) 90.47 s
-e) 108.57 s