Question

A ball rolls without slipping at 6 m/s off an incline of 25 degrees. The ball falls off the incline and enters a hole 3 meters below the incline. What is the horizontal distance between the bottom of the incline and the hole?
the horizontal speed is 6cos25° = 5.44 m/s

How long does it take to fall 3 meters?

4.9t^2 = 3
t = 0.78

Now you know the horizontal distance it went as it fell:

0.78 * 5.44 = 4.26 meters

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