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?\
\bigcirc 13 m/s²\
\bigcirc -6 m/s²\
\bigcirc 6 m/s²\
\bigcirc 18 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

First, calculate the change in velocity: \( v_f - v_i=65 - 35 = 30\space m/s \).
Then, divide by the time: \( a=\frac{30}{5}=6\space m/s^2 \).

Answer:

\( 6\space m/s^2 \) (corresponding to the option with 6 m/s²)