A Car Accelerates from Rest

Acceleration Calculation

A car starts from rest and accelerates uniformly over a time of 5 seconds, reaching a velocity of 122 m/s. We need to determine the acceleration of the car.

Solution

Firstly, we need to identify the initial velocity (u), final velocity (v), time (t), and acceleration (a) given in the problem:

Initial Velocity (u): 0 m/s (car starts from rest)

Final Velocity (v): 122 m/s

Time (t): 5 seconds

Using the formula:

v = u + at

We can rearrange the formula to solve for acceleration (a):

a = (v - u) / t

Calculation

Substitute the given values into the formula:

a = (122 m/s - 0 m/s) / 5 s

a = 122 m/s / 5 s

a = 24.4 m/s^2

Conclusion

The acceleration of the car is 24.4 m/s^2.

Explanation

The acceleration of the car can be calculated by dividing the change in velocity by the time taken. In this case, the car accelerates at a rate of 24.4 m/s^2 over 5 seconds to reach a velocity of 122 m/s.