Question

A certain automobile manufacturer claims that its super-deluxe sports car will accelerate from rest to a speed of 42.3 m/s in 8.02 s. find the acceleration of the car. assume that the acceleration of the car is constant. answer in units of m/s 2 .

Answer 1

acceleration equals change in velocity divided by time taken

Answer 2

5.27 m/s²

Step-by-step explanation:

Given data

• Initial velocity (v₀): 0 m/s (rest)

• Final velocity (vf): 42.3 m/s

• Elapsed time (t): 8.02 s

• Acceleration (a): ?

We can determine the acceleration of the car using the following kinematic expression.

a = Δv / t

a = vf - v₀ / t

a = (42.3 m/s - 0 m/s) / 8.02 s

a = 5.27 m/s²

The acceleration of the car is 5.27 m/s².