Question

a car is traveling in a race. the car went from the initial velocity of 35 m/s to the final velocity of 65 m/s in 5 seconds. what is the acceleration? -13 m/s -6 m/s² 6 m/s² 13 m/s²

Explanation:

Step1: Recall acceleration formula

The formula for acceleration \( a \) is \( a = \frac{v_f - v_i}{t} \), where \( v_f \) is final velocity, \( v_i \) is initial velocity, and \( t \) is time.

Step2: Substitute values

Given \( v_i = 35 \, \text{m/s} \), \( v_f = 65 \, \text{m/s} \), \( t = 5 \, \text{s} \). Substitute into the formula: \( a = \frac{65 - 35}{5} \).

Step3: Calculate numerator

\( 65 - 35 = 30 \).

Step4: Divide by time

\( a = \frac{30}{5} = 6 \, \text{m/s}^2 \).

Answer:

\( 6 \, \text{m/s}^2 \) (corresponding to the option "6 m/s²")