The rate of change in velocity

The rate of change in velocity is known as acceleration. It is calculated by subtracting the initial velocity from the final velocity, then dividing the result by the time it took for this change to occur. Here are the steps:

1. Identify the initial and final velocities. Let's say the initial velocity (v_i) is 10 m/s and the final velocity (v_f) is 20 m/s.

2. Subtract the initial velocity from the final velocity. This gives you the change in velocity (Δv). In this case, Δv = v_f - v_i = 20 m/s - 10 m/s = 10 m/s.

3. Identify the time it took for the change in velocity to occur. Let's say it took 5 seconds. This is your time interval (Δt).

4. Divide the change in velocity by the time interval to get the acceleration (a). So, a = Δv / Δt = 10 m/s / 5 s = 2 m/s².

So, the rate of change in velocity, or acceleration, in this case, is 2 m/s².