Question

1. A ball is kicked horizontally at 8 m/s from a cliff that is 80m high. It takes 3.1 s for the ball to hit the

ground. What is the horizontal displacement of the ball?

Answer 1

There is redundant data in this question. We only need to know the speed and height. We'll ignore the time, as it can be calculated from the two data above.

Answer:

d=32.32 m

Step-by-step explanation:

Horizontal Motion

It describes the situation when an object is thrown horizontally with a speed v from a height h.

The range or maximum horizontal distance traveled by the object can be calculated as follows:

`\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}`

The ball is kicked horizontally with v=8 m/s from a cliff at h=80 m, thus the maximum horizontal distance is:

`\displaystyle d=8\cdot\sqrt{\frac {2(80)}{9.8}}`

d=32.32 m