Newton's First Law states that an object at rest stays at rest and an object in motion stays in motion unless acted upon by an unbalanced force. A car with no net force will be at rest or travel at a constant speed in a straight line. Newton's Second Law states that accelerations require forces: Fnet = ma. Acceleration is defined as a change in velocity with respect to time.
This change in velocity can be a change in speed (the car can go faster or slower) or a change in direction (the car can move in a curve). Newton's Second Law states that any acceleration requires a force.
Acceleration due to a change in speed is easy to calculate. When a car accelerates from 10 m/s north to 30 m/s north, its change in velocity is 20 m/s north. If the change occurred in 4 s, the acceleration is (20 m/s)/4 s = 5 m/s2.
For acceleration due to a change in direction, the calculation is a bit more difficult. A car traveling at 10.0 m/s north that then travels 10.0 m/s east after 4.0 s also has acceleration. To determine the change in velocity, you have to calculate the change in the velocity by subtracting vectors vf – vi , where vf is the final velocity and vi is the initial velocity. This is mathematically equivalent to adding vf + (–vi).