A car accelerates uniformly from rest to a
speed of 73.6 mi/h in 7.68 s.
Find the constant acceleration of the car.
Answer in units of m/s
2
a=(vf-vi)/t
vf=73.6 * (1/3600)*1609.34 = 32.9 m/s
vi = 0 (at rest)
a=32.9/7.68 = 4.28 m/s^2
To find the constant acceleration of the car, we can use the following formula:
acceleration = (final velocity - initial velocity) / time
First, let's convert the given speed from miles per hour (mi/h) to meters per second (m/s).
1 mile = 1609.34 meters
1 hour = 3600 seconds
So, the conversion factor is 1609.34 / 3600 = 0.446944
Final velocity = 73.6 mi/h * 0.446944 m/s = 32.84966464 m/s
Now, we can use the formula to find the acceleration:
acceleration = (32.84966464 m/s - 0 m/s) / 7.68 s = 4.2765872 m/s^2
Therefore, the constant acceleration of the car is approximately 4.28 m/s^2.