Final answer:
The time required for a car accelerating at a constant rate of 5 m/s² to reach a speed of 60 m/s is 12 seconds.
Step-by-step explanation:
To determine the time required for the car to reach a speed of 60 m/s when accelerating at a rate of 5 m/s², we can use the basic kinematic equation which relates acceleration (a), time (t), and change in velocity (Δv):
Δv = a × t
Here, Δv is the change in velocity, which is 60 m/s (final velocity) minus 0 m/s (initial velocity, assuming it starts from rest), so Δv = 60 m/s. The acceleration, a, is given as 5 m/s². Therefore:
60 m/s = 5 m/s² × t
To solve for time (t), we divide both sides of the equation by the acceleration:
t = 60 m/s / 5 m/s²
t = 12 seconds
The time required for the car to accelerate from rest to 60 m/s with a constant acceleration of 5 m/s² is 12 seconds.