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You are driving around a curve at a constant speed of 30.0 mi/h. Is the acceleration is zero and are you going in a constant motion.?

Is it right? Please give an example which can prove..

1 Answer

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  • 7 years ago

    No it's not right. There is radial acceleration due to the changing heading. Remember, A = dV/dT relates to the velocity V, which is a vector having both magnitude and direction.

    So even though the magnitude |V| = 30 mph is constant, my car is constantly changing heading so that dV/dT <> 0 and there is acceleration. In fact, while turning around a radius R, we can show that Ar = V^2/R is the radial acceleration along that radius.

    So we are going a constant speed but with a varying direction. And that results in the radial acceleration without a linear acceleration.

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