Question

A skier leaves the top of a slope with an initial speed of 5.0 m/s. Her speed at the bottom of the slope is 13 m/s.
What is the height of the slope?
(a) 7.3 m
(b) 6.4 m
(c) 11 m
(d) 1.1 m​

Answer 1

Explanation:

hope this helps and also that it is correct.

Answer 2

The height of the slope is 7.3 m (option-a).

Given: the initial speed of the kier, u = 5.0 m/s

           the final speed of the skier, v = 13 m/s

To Find: the height of the slope, h

Solution:

To calculate h, the formula used:

• v² - u² = 2 as                    ⇒ Third Law of Motion Equation

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

       s is the height of the slope i.e. h

Applying the above formula:

v² - u² = 2 x g x h

(13)² - (5)² = 2 x 9.8 x h

169 - 25   = 2 x 9.8 x h

144  = 2 x 9.8 x h

144  = 19.6 x h

h x 19.6 = 144

h = 144 / 19.6

  = 7.34

h = 7.3 m

Hence, the height of the slope is 7.3 meters.