Question

Someone in a car going past you at the speed of 32 m/s drops a small rock from a height of 2 m. How far from the point of the drop will the rock hit the ground? the acceleration due to gravity is 9.8m/s^2. answer in units of m.

Answer 1

The rock will hit the ground at 20.44 m from the point of the drop

Step-by-step explanation:

Horizontal Motion

It occurs when an object is thrown horizontally from a height h at an initial speed v.

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

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

When the small rock is dropped from a car at speed v=32 m/s, it starts a curved path that ends up when the rock hits the ground. The height is h=2 m, thus the range is:

`\displaystyle d=32\cdot\sqrt{\frac {2\cdot 2}{9.8}}`

`\displaystyle d=32\cdot√(0.4082)`

`d=20.44\ m`

The rock will hit the ground at 20.44 m from the point of the drop