Question

a car traveling at a speed of 24 m/s comes to a stop at a red light. how much time will it take for the car to stop if its acceleration is -8.0 m/s²? 3 s 16 s 32 s 192 s

Explanation:

Step1: Identify the formula

Use the kinematic formula \(v = v_0+at\), where \(v = 0\) (final velocity, car stops), \(v_0 = 24\ m/s\) (initial velocity), \(a=- 8.0\ m/s^{2}\) (acceleration), and \(t\) is the time we want to find.

Step2: Rearrange the formula for \(t\)

Rearrange \(v = v_0+at\) to \(t=\frac{v - v_0}{a}\).

Step3: Substitute the values

Substitute \(v = 0\), \(v_0 = 24\ m/s\), and \(a=-8.0\ m/s^{2}\) into the formula: \(t=\frac{0 - 24}{-8}\).

Step4: Calculate the value of \(t\)

\(t=\frac{-24}{-8}=3\ s\).

Answer:

A. 3 s