Question

1. dominic roth is in a roller coaster car, which rapidly picks up speed as it rolls down a slope. as it starts down the slope, its speed is 4 m/s. but 3 seconds later, at the bottom of the slope, his speed is 22 m/s. what is its average acceleration?

Explanation:

Step1: Recall acceleration formula

The formula for average acceleration is $a=\frac{v - u}{t}$, where $v$ is final - velocity, $u$ is initial - velocity, and $t$ is time.

Step2: Identify values

We are given that the initial speed $u = 4\ m/s$, the final speed $v=22\ m/s$, and the time $t = 3\ s$.

Step3: Substitute values into formula

$a=\frac{22 - 4}{3}=\frac{18}{3}$

Step4: Calculate result

$a = 6\ m/s^{2}$

Answer:

$6\ m/s^{2}$