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Two particles start moving from the same point along the same straight line. The first moves with constant velocity v and the second moves with acceleration :a'. During the time that elapses before the second catches the first, the greatest distance between the particles is... Pls Explain each step

Two particles start moving from the same point along the same straight line. The first moves with constant velocity v and the second moves with acceleration :a'. During the time that elapses before the second catches the first, the greatest distance between the particles is...  Pls
Explain each step

Grade:11

1 Answers

Khimraj
3007 Points
5 years ago
let the time at which second catches first is t
then
vt = ½*a*t2
then
t = 2v/a
distance between them x = vt – ½*a*t2
for maximum x
dx/dt = 0
v -at = 0
t = v/a
then x = v2/a  – v2/2a = v2/2a
Hope it clears.

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