If a car accelerates at a rate of 30 m/s² for 3 seconds starting from 5 m/s, what is its final speed?

To determine the final speed of the car after accelerating, you can use the kinematic equation that relates initial velocity, acceleration, time, and final velocity. The formula is:

Final Speed = Initial Speed + (Acceleration × Time)

In this situation, the initial speed of the car is 5 m/s, it accelerates at a rate of 30 m/s² for a duration of 3 seconds.

Using the values:

1. Initial Speed = 5 m/s
2. Acceleration = 30 m/s²
3. Time = 3 s

Now, plug these values into the formula:

Final Speed = 5 m/s + (30 m/s² × 3 s)

Calculate the acceleration component:

30 m/s² × 3 s = 90 m/s

Now, add this result to the initial speed:

Final Speed = 5 m/s + 90 m/s = 95 m/s

Thus, the final speed of the car after the acceleration is 95 m/s, which corresponds to the answer choice of 95 m/s.