Question

A student throws a ball horizontally at the rate of 40 m/s. If the height from which the ball is thrown is 2 m, how far will the ball travel before it touches the ground?

a-16.33m
b-19.54m
c-25.56m
d-28.29m

Answer 1

The correct option is C

Step-by-step explanation:

From the question we are told that

The speed of the ball in the horizontal direction is
`v = 40 m/s`

The height from which the ball is thrown is s = 2 m

Generally from kinematic equation

`s = ut + (1)/(2) gt^2`

Here u is the initial velocity of the ball and this zero given that the ball was at rest before it was thrown.

So

`2 = 0 * t + (1)/(2) 9.8t^2`

=>
`t = 0.6889 \ s`

Generally the distance the ball will travel before touching the ground is

`d = v * t`

=>
`d = 40 * 0.6389`

=>
`d = 25.56 \ m`