Question

a roller coasters accelerates from an initial velocity of 6.0 m/s to a final velocity of 70 m/s over 4 seconds. whats the acceleration? 16 m/s 16 m/s² 24 m/s² 18 m/s²

Explanation:

Step1: Identify the acceleration formula

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

Step2: Substitute the given values

We are given that $u = 6.0\ m/s$, $v = 70\ m/s$, and $t = 4\ s$. Substitute these values into the formula: $a=\frac{70 - 6}{4}$.

Step3: Calculate the acceleration

First, calculate the numerator: $70−6 = 64\ m/s$. Then, divide by the time: $a=\frac{64}{4}=16\ m/s^{2}$.

Answer:

$16\ m/s^{2}$