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

Answer:

option C

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

$s = u t + \dfrac{1}{2}at^2$

$t=\sqrt{\dfrac{2s}{g}}$

now,

      $R = v\sqrt{\dfrac{2h}{g}}$

where, h is the height of the

Assuming the height be equal to 0.6 m

to calculate the new height

         $h_{new}= 4 h$

         $h_{new}= 4\times 0.6$

        $h_{new}= 2.4\ m$

hence, the correct answer is option C