Two particles start moving from the same point along the same straight line. The first moves with constant velocity v and the second with constant acceleration a from rest. During the time that elapses before the second catches the first, the greatest distance between the particle is
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a
v2a
b
v22a
c
2v2a
d
v24a
answer is B.
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Detailed Solution
Let x be the distance between the particles after t seconds. Then x = vt-12at2 ------(1)For x to be maximumdxdt= 0or v-at = 0or t = vasubstituting this value in (1) we getx = v(va)-12a(va)2or x = v22a
Two particles start moving from the same point along the same straight line. The first moves with constant velocity v and the second with constant acceleration a from rest. During the time that elapses before the second catches the first, the greatest distance between the particle is