A car accelerates uniformly from rest to a speed of 55.0 mi/h in 11.0 s.
so, the acceleration is
55.0/11.0 mi/hr/s
You can massage that into m/s^2 if you want.
To find the acceleration of the car, we can use the formula:
acceleration = (final velocity - initial velocity) / time
Given that the car starts from rest (initial velocity = 0) and reaches a speed of 55.0 mi/h, we need to convert the units to a consistent system. Since the formula requires velocity in a consistent unit, let's convert the units to meters per second (m/s).
To convert 55.0 mi/h to m/s, we can use the conversion factor:
1 mi/h = 0.44704 m/s
So, the final velocity in m/s would be:
final velocity = 55.0 mi/h * 0.44704 m/s = 24.5872 m/s
Now, we can plug in the values into the formula:
acceleration = (24.5872 m/s - 0 m/s) / 11.0 s
Simplifying further:
acceleration = 24.5872 m/s / 11.0 s
Finally, calculating the value:
acceleration ≈ 2.2352 m/s²
Therefore, the car's acceleration is approximately 2.2352 m/s².