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Classical Mechanics

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Moderate

Acceleration and Displacement During a Car Race

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Created for Albert.io. Copyright 2016. All rights reserved.

A toy car races a ball over a distance of $100\text{ cm}$. The car moves at a constant speed of $31\text{ cm/s}$ from the start line. The ball moves down an incline at an acceleration of $0.22\text{ m/s}^2$. Both objects start at the same time, with the ball starting from rest and the car starting at $31\text{ cm/s}$.

Assuming they have the same total distance to travel, how do the objects compare as they race at the $50\text{ cm}$ and $​100\text{ cm}$ mark?

A

The ball and the car tie at $50\text{ cm}$, but the ball wins at $100\text{ cm}$.

B

The car beats the ball to $50\text{ cm}$, ​but they tie at $100\text{ cm}$.

C

The car beats the ball to the $50\text{ cm}$ mark, but the ball wins at $100\text{ cm}$.

D

The ball beats the car to the $50\text{ cm}$ mark, but the car wins at $100\text{ cm}$.