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/s²
-6 m/s²
6 m/s²
13 m/s²

Explanation:

Step1: Recall the acceleration formula

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

Step2: Identify the given values

We have \(v_i = 35\space m/s\), \(v_f=65\space m/s\), and \(t = 5\space s\).

Step3: Substitute the values into the formula

Substitute the values into the formula: \(a=\frac{65 - 35}{5}\)
First, calculate the numerator: \(65-35 = 30\)
Then, divide by the time: \(a=\frac{30}{5}=6\space m/s^{2}\)

Answer:

6 m/s² (corresponding to the option "6 m/s²")