Final answer:
The change of velocity for a car that accelerates at 4 m/s^2 over 5 seconds is calculated using the formula ∆v = a * ∆t, resulting in a change of velocity of 20 m/s.
Step-by-step explanation:
To calculate the change of velocity of a car that accelerates at a rate of 4 m/s2 over a period of 5 seconds, we can use the formula for acceleration, which is:
a = ∆v / ∆t
Where:
- a is the acceleration
- ∆v is the change of velocity (final velocity - initial velocity)
- ∆t is the change in time
We can rearrange this formula to solve for the change of velocity:
∆v = a * ∆t
Plugging in the known values:
We get:
∆v = 4 m/s
2
* 5 s = 20 m/s
Therefore, the change of velocity is 20 meters per second (m/s).