Question

how long does it take a car that is travelling at 25 m/s with an acceleration of 1.5 m/s² to reach a speed of 35 m/s? show your work! dont forget your units.

Explanation:

Step1: Identify the kinematic - equation

We use the equation $v = v_0+at$, where $v$ is the final velocity, $v_0$ is the initial velocity, $a$ is the acceleration and $t$ is the time.

Step2: Rearrange the equation for time

We can rewrite the equation as $t=\frac{v - v_0}{a}$. Given $v_0 = 25\ m/s$, $v = 75\ m/s$ and $a=15\ m/s^2$.

Step3: Substitute the values

$t=\frac{75 - 25}{15}=\frac{50}{15}=\frac{10}{3}\ s\approx3.33\ s$

Answer:

$t=\frac{10}{3}\ s\approx3.33\ s$