Question

Two objects are placed on the edge of a circle. They move in opposite directions from the same starting point in order to collide with each other. The first object moves at 0.1 rad/s, and the second moves at 0.25 rad/s. If both objects have the same angular acceleration, what time will they collide?

rly confused. do i use pi? how do i solve this, pls?

Answer 1

v1 = .1 + a t clockwise

T 1 = .1 t + .5 a t^2 clockwise

v2 = .25 - a t counterclockwise (same |a| but opposite direction)
T2 = .25 t - .5 at^2 counterclockwise

.1 t +.5at^2 + .25 t -.5at^2 = 2 pi
.35 t = 2 pi