Final answer:
To calculate the car's acceleration, subtract the initial velocity from the final velocity to determine the change in velocity, and then divide this by the time taken. The car's average acceleration is 4 m/s².
Step-by-step explanation:
To calculate the acceleration of a car that changes its speed from 10 m/s to 30 m/s in 5 s, you can use the formula for acceleration, which is the change in velocity divided by the time taken for that change. Here, the change in velocity (Δv) is 30 m/s - 10 m/s = 20 m/s, and the time (Δt) is 5 s.
Δv = vf - vi = 30 m/s - 10 m/s = 20 m/s
Δt = 5 s
Acceleration (a) = Δv / Δt = 20 m/s / 5 s = 4 m/s²
So the average acceleration of the car is 4 m/s².