Question

A roller coaster is going down the slope and the speed is 6m/s . 10 seconds later it has reached the bottom of the slope with a speed of 35m/s. what is the acceleration

Answer 1

The acceleration is 2.9m/s^2

Explanation:

Given

`Initial\ Speed\ (u) = 6m/s`

`Final\ Speed\ (v) = 35m/s`

`Time\ (t) = 10s`

Required

Determine the acceleration

This question will be answered using Newton's first equation of motion.

`v = u + at`

Substitute values for v, u and t

`35 = 6 + 10 * a`

`35 = 6 + 10 a`

Collect Like Terms

`10a = 35-6`

`10a = 29`

Solve for a

`a = 29/10`

`a = 2.9`

Hence, the acceleration is 2.9m/s^2