Question

How high is the pole from which the lamp fell freely if it hits the ground at a speed of 15 m/s​

Answer 1

Answer & Explanation:

The acceleration due to gravity is about 10 m/s^2.

That means a the speed of a falling object will increase by 10 m/s every second that it falls.

We know that the lamp hits the ground at 15 m/s.

That means the lamp has been falling for

`(15 m/s)/(10 m/s^(2) ) = 1.5 s`

Now we use the formula
`h = (1)/(2) gt^(2)` to calculate the height, where

h is the height

g is the acceleration due to gravity and

t is the time taken to fall a height of h.

h = 1/2 x 10 x 1.5^2 = 11.25 m