- #1

Marvin94

- 41

- 0

## Homework Statement

Four children are playing toss on a merry-go-round which has a radius of r=2m. The merry-go-round turns counterclockwise and completes one revolution in 2 seconds. The child who has the ball wants to toss it to its right neighbour. It tosses the ball towards the center of the merry-go-roung.

## Homework Equations

a) How fast does the child have to throw the ball?

b) How fast does the merry-go-round have to turn to let the child catch its own ball, if it was thrown at the same speed as in a)?

Solve the problem in the (x,y) plane of the carousel, from an outside, resting frame of reference, neglecting gravity and friction.

## The Attempt at a Solution

I saw at the beginning of someone's solution that:

[itex]x(t) = x_0 + v_x t + \frac{1}{2} a_x t^2[/itex]

[itex]y(t) = -r + v_y t [/itex]

I don't understand why it should be correct. However I would know if someone could directly explain me a nice approach to this problem and solve it to make it clear to me. Thanks a lot.