Question

Please Help!!

A stone is thrown horizontally with an initial speed of 10m/s from the edge of the cliff. A stop watch measures the stone’s trajectory time from the top of the hill to the bottom to be 6.7s. What is the height of the cliff?

Answer 1

h = 219.96 m

Step-by-step explanation:

Speed of the stone with which it was thrown horizontally, v = 10 m/s

We need to find the height of the cliff if the stone’s trajectory time from the top of the hill to the bottom to be 6.7s.

It means we need to find the distance covered by the stone. As the horizontal speed of the stone is given , it means there is no vertical motion in the stone,u'=0

Using second equation of motion,

`d=u't+(1)/(2)at^2`

Put u'=0 and a=g

So,

`d=(1)/(2)gt^2\\\\\text{Putting all the values to find d}\\\\d=(1)/(2)* 9.8* 6.7^2\\\\d=219.96\ m`

So, the height of the cliff is 219.96 m.