Question

A sled with no initial velocity accelerates at rate of 5.0 m/s^2 down a hill . How long does it take the sled to go 45 m to the bottom

Answer 1

The time taken by the sled to reach 45 m to the bottom is 4.24 s.

The sled's initial velocity u is zero. It has an acceleration a of a value 5 m/s² down the hill and it travels a distance s equal to 45 m down the hill.

Use the equation of motion,

$s=ut+\frac{1}{2} at^2$

Substitute 0 m/s for u and rewrite the equation for t.

$t=\sqrt{\frac{2s}{a}} \\ =\sqrt{\frac{2(45 m)}{5.0m/s^2} } \\ =4.24s$

The sled takes a time of 4.24 s to reach the bottom of the hill