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Two cars cover the same distance in a straight line. Car Acovers the distance at

ID: 1760011 • Letter: T

Question

Two cars cover the same distance in a straight line. Car Acovers the distance at a constant velocity. Car B starts from restand maintains a constant acceleration. Both cars cover a distanceof 490 m in 216 s. Assume that they are moving in the +xdirection. Determine (a) the constant velocity of car A, (b) thefinal velocity of car B, and (c) the acceleration of carB. (a) Va=? (b) Vb=? (c) aB=? Two cars cover the same distance in a straight line. Car Acovers the distance at a constant velocity. Car B starts from restand maintains a constant acceleration. Both cars cover a distanceof 490 m in 216 s. Assume that they are moving in the +xdirection. Determine (a) the constant velocity of car A, (b) thefinal velocity of car B, and (c) the acceleration of carB. (a) Va=? (b) Vb=? (c) aB=?

Explanation / Answer

a) constant velocity of car A    v = d/t =490m/216s = 2.27 m/s b) let the final speed of car B is vf and itsacceleration is a, we have: d = 490m = (1/2)at2 =>a = 2*490m/(216s)2 = 0.021m/s2 vf = at = 0.021m/s2 * 216s = 4.54m/s final velocity of car B is 4.54m/s c) acceleration of car B is a = 0.021m/s2 as wefound above. vf = at = 0.021m/s2 * 216s = 4.54m/s final velocity of car B is 4.54m/s c) acceleration of car B is a = 0.021m/s2 as wefound above.
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