College

A 50 kg bobsled slides down an ice track starting from the top of a 173 m high hill with zero initial speed. The acceleration due to gravity is 9.8 m/s².

Neglect friction and air resistance. Determine the bobsled’s speed at the bottom of the hill.

Answer in units of m/s.

Answer :

Hi there!

We can use the following kinematic equation:

[tex]v_f^2 = v_i^2 + 2ad[/tex]

The initial velocity is 0 m/s, so:

[tex]v_f^2 = 2ad[/tex]

vf = final velocity (? m/s)
a = acceleration due to gravity (g)
d = vertical height (m)

Plug in the givens and solve:

[tex]v_f = \sqrt{2gd} = \sqrt{2(9.8)(173)} = \boxed{58.23 \frac{m}{s}}[/tex]