Calculating Acceleration from Rest to 76.8 mi/h in 7.62 s
What is the constant acceleration of a car that accelerates uniformly from rest to a speed of 76.8 mi/h in 7.62 s?
Find the acceleration in units of m/s².
Answer:
The constant acceleration of the car is 4.83 m/s² or 4.51 m/s².
When a car accelerates uniformly from rest to a speed of 76.8 mi/h in 7.62 s, we can calculate the acceleration using the formula:
Acceleration = (change in speed) / (time for the change)In this case:
Change in speed = 76.8 mi/h
Time = 7.62 s
By plugging in the values, we get the acceleration in mile/hour-second as 10.08. To convert this to meters per second squared (m/s²), we need to perform the following calculations:
(10.08 mile/hr-sec) x (1,609 meter/mile) x (1 hr / 3600 sec) = 4.83 m/s²
Therefore, the constant acceleration of the car is 4.83 m/s² (rounded) or 4.51 m/s² (unrounded).