Question

A roller coaster, traveling with an initial speed of 15 meters per second, decelerates uniformly at –7.0 m/s2 to a full stop. Approximately how far does the roller coaster travel during its deceleration?

Answer 1

Answer:

 Roller coaster will travel 16.07 meter before coming to stop.

Explanation:

We have equation of motion, $v^2=u^2+2as$, where u is the initial velocity, u is the final velocity, s is the displacement and a is the acceleration.

In this case we have final velocity = 0 m/s, initial velocity = 15 m/s, and acceleration = -7 $m/s^2$.

$0^2=15^2-2*7*s\\ \\ 14s=225\\ \\ s=16.07m$

So, roller coaster will travel 16.07 meter before coming to stop.