Two cars A and B, each 5 m in length, travel with constant velocity 20 m/s along a straight level road.
The front of car A is 15 m directly behind the rear of car B.
Immediately on reaching a point P each car decelerates at 4 m/s/s.
Find the time at which collision occurs? Please explain
2026-03-26 12:34:59.1774528499
collision of two bodies
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Hint: let $a(t)$ be the position of the front of car A and $b(t)$ be the position of the rear of car B in meters right of P-these are the points that will collide. Let $t=0$ be when the front of car B reaches P. What are $a(0)$ and $b(0)$? As A has not reached P, for a while more you have $a(t)=a(0)+5t$ What is the equation for $b(t)$-it starts decelerating at $t=0$?