Question

A student sits on the roof of their house which is 16 meters high. She can launch water balloons (horizontally) from a slingshot at 26 m/s. How far will each balloon travel (horizontally)?

A. 67.06 m
B. 17.06 m
C. 0.06 m
D. 47.06 m

Answer 1

The horizontal distance traveled by the water balloons is 47.06 m.

D. 47.06 m

Step-by-step explanation:

Given;

height of the house, h = 16 m

horizontal velocity of the water balloons, v = 26 m/s

The time taken for the water balloons to hit the ground is given by;

`t = \sqrt{(2h)/(g) } \\\\t = \sqrt{(2*16)/(9.8) }\\\\t = 1.81 \ s`

The horizontal distance traveled by the water balloons is given by;

x = vt

x = 26 x 1.81

x = 47.06 m

Therefore, the horizontal distance traveled by the water balloons is 47.06 m.