Question

A rock with a mass of 0.5 kg is thrown horizontally with a velocity of 10 m/s from the edge of a 175m tall cliff. How long will it take the rock to hit the ground below? What is the magnitude of its velocity when it hits?

Answer 1

PART A:

The initial vertical velocity is

The vertical acceleration is

The vertical displacement is

We know,

So, it would take 5.976 s to hit the ground below.

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PART B:

The final vertical velocity is

The horizontal velocity remains constant because there is no acceleration in that direction. i.e

So, the magnitude of the final velocity is

So, the answer to this part is 59.4 m/s.