A car increases its speed from 8.4 meters per second to 11.7 meters per second in 4.3 seconds. What is the average acceleration of the car during this time interval?

Question

BlackTom AI · Accepted Answer

Consider the definition of average acceleration: it is the change in velocity divided by the time over which the change occurs.

Step 1: Identify the initial and final velocities. The car speeds up from 8.4 m/s (initial) to 11.7 m/s (final).

Step 2: Compute the change in velocity (final − initial). 11.7 − 8.4 = 3.3 m/s.

Step 3: Note the time interval over which this change happens. The time interval is 4.3 s.

Step 4: Divide the velocity change by the time interval to get average acceleration: a = Δv / Δt = 3.3 m/s ÷ 4.3 s.

Step 5: Perform the division. 3.3 / 4.3 ≈ 0.767... The result rounds to 0.77 when expressed with two significant figures.

Result interpretation: The car’s speed increases by 3.3 m/s over 4.3 s, which corresponds to an average acceleration of approximately 0.77 m/s^2. If you want more precision, you can keep more digits in the division before rounding.

A car increases its speed from 8.4 meters per second to 11.7 meters per second in 4.3 seconds. What is the average acceleration of the car during this time interval?

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