A race car completes the final lap of a race on a 2-kilometer circular track. At the start of the lap, it crosses the line at 60 meters/second. It completes the lap 28.57 seconds later, crossing the line at 85 meters/second. Calculate the displacement and average acceleration of the car within the span of 12 seconds.

Question

Physics

Natalya Waters

31 August, 00:27

A race car completes the final lap of a race on a 2-kilometer circular track. At the start of the lap, it crosses the line at 60 meters/second. It completes the lap 28.57 seconds later, crossing the line at 85 meters/second. Calculate the displacement and average acceleration of the car within the span of 12 seconds.

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Diamond Lang · Answer 1

Answer: A

A. Displacement is 0 meters, and acceleration is 0.88 meters/second2.

B. Displacement is 2,000 meters, and acceleration is 1.14 meters/second2.

C. Displacement is 0 meters, and acceleration is 70.0 meters/second2.

D. Displacement is 2,000 meters, and acceleration is 80.0 meters/second2.

E. Displacement is 0 meters, and acceleration is 0.70 meters/second2.

-Displacement is change in position in a specified time interval. Since the initial and the final positions are equal, the displacement is zero.

-Average acceleration is change in velocity over change in time. Hence, the average acceleration is (85 m/s - 60 m/s) / 28.57 s = 0.88 m/s^2