accelerates from 15 m/s to 30 m/s in 3.0 s. What is the car's acceleration?
To calculate the car's acceleration, you need to use the formula:
Acceleration (a) = Change in velocity (Δv) / Time (t)
In this case, the change in velocity (Δv) is the final velocity (v_f) minus the initial velocity (v_i). The given values are:
Initial velocity (v_i) = 15 m/s
Final velocity (v_f) = 30 m/s
Time (t) = 3.0 s
Now, we can plug the values into the formula to calculate the acceleration:
a = (v_f - v_i) / t
a = (30 m/s - 15 m/s) / 3.0 s
Next, calculate the change in velocity:
Δv = v_f - v_i
Δv = 30 m/s - 15 m/s
Now, substitute the values back into the acceleration formula:
a = (Δv) / t
a = (30 m/s - 15 m/s) / 3.0 s
Finally, simplify the equation to find the acceleration:
a = 15 m/s / 3.0 s
a = 5 m/s^2
Therefore, the car's acceleration is 5 m/s^2.