The speedometer on your car reads a steady 35 mph. Could you be accelerating? Explain.

College Physics
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Chapter7: Rotational Motion And The Law Of Gravity
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Problem 15P: A car initially traveling eastward turns north by traveling in a circular path at uniform speed as...
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13.5.17
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The speedometer on your car reads a steady 35 mph. Could you be accelerating? Explain.
Choose the correct answer and explanation.
A. Yes. If the car is moving along a curved path (K ± 0), then an = K |v2 + 0 and a = a-T + anN #0.
B. No. The car is not accelerating if the speed is constant.
C. No. If the car is moving along a curved path (K= 0), then an =K |v|2 = 0 and a = a-T+anN = 0.
D. Yes. On a curved path, the velocity always changes in magnitude, but it may or may not change in direction, which means that the acceleration of an object moving on a curved path can never be zero.
Transcribed Image Text:13.5.17 Q The speedometer on your car reads a steady 35 mph. Could you be accelerating? Explain. Choose the correct answer and explanation. A. Yes. If the car is moving along a curved path (K ± 0), then an = K |v2 + 0 and a = a-T + anN #0. B. No. The car is not accelerating if the speed is constant. C. No. If the car is moving along a curved path (K= 0), then an =K |v|2 = 0 and a = a-T+anN = 0. D. Yes. On a curved path, the velocity always changes in magnitude, but it may or may not change in direction, which means that the acceleration of an object moving on a curved path can never be zero.
Expert Solution
Step 1

The acceleration of an object is defined as the rate at which its velocity is changing.

If the object’s velocity is constant, the object’s acceleration is zero, that is, the object is not accelerating.

But the object’s velocity is a vector quantity, it has magnitude as well as direction. If the object’s velocity’s magnitude is constant but its direction is changing then the velocity is said to be changing.

 

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