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