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## Homework Statement

A ball was projected at an angle A to the horizontal. One second later another ball was projected from the same point at an angle B to the horizontal. One second after the second ball was released, the two balls collided. Find the speed of projection for the two balls.

## Homework Equations

s = ut + 1/2 at

^{2}

## The Attempt at a Solution

In x-direction:

s

_{A}= u

_{a}cosA t

s

_{B}= u

_{b}cosB (t-1)

In y-direction:

s

_{A}= u

_{a}sinA t -1/2 gt

^{2}

s

_{B}= u

_{b}sinB (t-1) -1/2 g(t-1)

^{2}

When they collide the distances they travelled in the x and y directions are equal to each other at t=2. I tried to solve for u

_{a}and u

_{b}but got stuck.