How to Calculate the Constant Acceleration of a Car?
What is the given data?
A car accelerates uniformly from rest to a speed of 58.3 mi/h in 9.47 s.
What are we trying to find?
Find the constant acceleration of the car.
Answer:
Acceleration = 2.5 m/s^2
When a car accelerates uniformly from rest to a speed of 58.3 mi/h in 9.47 s, we can use the formula:
Acceleration = Change in Velocity / Time Taken
First, we need to convert the speed from miles per hour (mi/h) to meters per second (m/s). We know that 1 mi/h is approximately equal to 0.44704 m/s. Therefore, 58.3 mi/h is equal to 58.3 x 1609.34 / 3600 = 24.28 m/s.
Next, we can calculate the acceleration using the formula:
Acceleration = (24.28 m/s - 0 m/s) / 9.47 s = 2.56 m/s^2
Therefore, the constant acceleration of the car is 2.56 m/s^2.