An automobile traveling at 14.0km/h along a straight, level road accelerates to 65.0km/h in 5.30s . What is the magnitude of the auto’s average acceleration in m/s^2?
(65-14)/5.3 km/hr/s
now just convert that to m/s^2
ty
To find the average acceleration of the automobile, we need to use the formula:
average acceleration = change in velocity / time
average acceleration = (final velocity - initial velocity) / time
First, let's convert the initial and final velocities from km/h to m/s:
Initial velocity = 14.0 km/h
Final velocity = 65.0 km/h
Converting km/h to m/s:
Initial velocity = 14.0 km/h * (1000 m / 1 km) * (1 h / 3600 s)
Final velocity = 65.0 km/h * (1000 m / 1 km) * (1 h / 3600 s)
Calculating the change in velocity:
change in velocity = final velocity - initial velocity
Finally, we will substitute the values into the formula to calculate the average acceleration.