How long will it take for the ball to hit the ground?

Question

A ball is thrown completely horizontally at a velocity of 35m/s. It is thrown from a height of 3m. How long will it take the ball to hit the ground?

Answer 1

Because the ball is thrown completely horizontally, the starting velocity in the y direction will be 0. Therefore, we can simplify our kinematic equation for the height of the ball to " h(t) = 3 - 0.5 * 9.8 t² ". When we solve for t, we get t = 0.782 seconds.

If you also want to find out how far away from the starting point the ball lands, since the ball travels horizontally at 35m/s, a constant velocity, we multiply 35 m/s by the time (0.782 seconds) to get x=27.4 meters.

The ball lands 27.4 meters from the location it was thrown in a time of 0.782 seconds.