Question

A car company wants to see how it's new car can accelerate over a period of 10 s. The car starts at rest and moves in straight line for 10 s reaching s speed of 34 m/s. What is the average acceleration of the car?

A. 3.4 m/s²

B. 0.34 m/s²

C. 17 m/s²

D. 1.7 m/s²

Answer 1

The average acceleration of the car, which starts from rest and reaches a speed of 34 m/s in 10 seconds, is calculated using the formula for acceleration (change in velocity over time). It is found to be 3.4 m/s².

Step-by-step explanation:

Average Acceleration Calculation

To calculate the average acceleration of the car, we can use the formula for acceleration which is change in velocity (Δv) over the time interval (Δt). The car company's new car starts at rest and reaches a speed of 34 m/s over a period of 10 seconds, which can be represented as:

a = Δv / Δt

Since the car starts from rest, the initial velocity (vinitial) is 0 m/s and the final velocity (vfinal) is 34 m/s. Therefore, Δv = vfinal - vinitial = 34 m/s - 0 m/s = 34 m/s. And since the time interval given is 10 seconds (Δt = 10 s), we have:

a = 34 m/s / 10 s = 3.4 m/s² Hence, the average acceleration of the car is 3.4 m/s², which corresponds to option A.