Question

A water gun is fired horizontally from a 4 meter tall hill and lands 7 meters from the base of the hill. (a) How long is the water in the air? (b) What is the initial velocity of the water?

Answer 1

(a) 0.9 s

(b) 7.78 m/s

Step-by-step explanation:

height, h = 4 m

Horizontal distance, d = 7 m

Let it takes time t to reach the ground and u be the initial velocity of the jet.

(a) Use second equation of motion in vertical direction

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

In vertical direction, uy = 0 m/s, a = g = - 9.8 m/s^2, h = - 4 m

By substituting the values, we get

`-4 = 0 - (1)/(2)* 9.8* t^(2)`

t = 0.9 second

Thus, the time taken by water jet in air is 0.9 second.

(b) Use

Horizontal distance = horizontal velocity x time

d = u t

7 = u x 0.9

u = 7.78 m/s

Thus, the initial velocity of water jet is 7.78 m/s.