Question

a girl rides a sled down a frozen hill. she starts from rest at the top of the hill and reaches a speed of 16 m/s at the bottom of the hill. How tall is the hill?

Answer 1

13.06m

Explanation:

Given parameters:

initial velocity u = 0

final velocity v = 16m/s

Unknown;

height of the hill = ?

Solution:

We are going to apply one of the laws of motion to solve this problem;

    V² = U² + 2gH

where V is the final velocity

           U is the initial velocity

           g is the acceleration due to gravity = 9.8m/s²

           H is the height

since initial velocity is zero;

          V² = 2gH

   To find the height;

             H = $\frac{V^{2g} }{y}$

   

              H = $\frac{16^{2} }{2 x 9.8}$ = 13.06m

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