Question

1. a car is traveling at 32 m/s when it accelerates to 96 m/s in 8 seconds. what is the car’s acceleration?

Explanation:

Step1: Recall acceleration formula

Acceleration \( a \) is given by the formula \( a = \frac{v_f - v_i}{t} \), where \( v_f \) is final velocity, \( v_i \) is initial velocity, and \( t \) is time.

Step2: Identify values

Here, \( v_i = 32 \, \text{m/s} \), \( v_f = 96 \, \text{m/s} \), \( t = 8 \, \text{s} \).

Step3: Substitute into formula

Substitute the values: \( a = \frac{96 - 32}{8} \).

Step4: Calculate numerator

\( 96 - 32 = 64 \).

Step5: Divide by time

\( a = \frac{64}{8} = 8 \, \text{m/s}^2 \).

Answer:

The car's acceleration is \( 8 \, \text{m/s}^2 \).