A car traveling in a straight line has a velocity of + 5.0 m/s. After an acceleration of 0.75 m/s², the carâs velocity is + 8.0 m/s. In what time interval did the acceleration occur?

4 s.

Explanation:

Acceleration: This can be defined as the rate of change of velocity of a body. The S. I unit of acceleration is m/s.

The formula for acceleration is given as,

From newton's equation of motion,

a = (v-u) / t ... Equation 1

Where a = acceleration of the car, v = final velocity of the car, u = initial velocity of the car, t = Time interval.

Make t the subject of the equation.

t = (v-u) / a ... Equation 2

Given: v = 8.0 m/s, u = 5.0 m/s, a = 0.75 m/s²

Substitute into equation 2

t = (8-5) / 0.75

t = 3/0.75

t = 4 s.

Hence the time interval the acceleration will occur = 4 s.