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

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

• A. 75 m/s
• B. 85 m/s
• C. 95 m/s
• D. 105 m/s

Answer: (C)

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.

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.