Question

Suppose the designers of the water slide want to adjust the height h above the water so that riders land twice as far away from the bottom of the slide. What would be the necessary height above the water?

A. 1.2 m
B. 1.8 m
C. 2.4 m
D. 3.0 m

Answer 1

option C

Step-by-step explanation:

given,

Range is doubled

for range to be doubled height should become 4 times.

formula to calculate the horizontal range

R = v T_{flight}

using equation of motion

`s = u t + (1)/(2)at^2`

`t=\sqrt{(2s)/(g)}`

now,

`R = v\sqrt{(2h)/(g)}`

where, h is the height of the

Assuming the height be equal to 0.6 m

to calculate the new height

`h_(new)= 4 h`

`h_(new)= 4* 0.6`

`h_(new)= 2.4\ m`

hence, the correct answer is option C