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Sign of Acceleration Table

Name: Sign of Acceleration Table
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Here's the actual problem:

A) If an object is speeding up and moving away from the motion detector, is the acceleration positive or negative?

B) If an object is speeding up and moving toward the motion detector, is the acceleration positive or negative?

C) If an object is slowing down and moving away from the motion detector, is the acceleration positive or negative?

D) If an object is slowing down and moving toward the motion detector, is the acceleration positive or negative?

The solution is given succinctly.

A) If an object is speeding up and moving away from the motion detector: Acceleration = +ve [a = d^2(r)/dt^2; dr/dt = +ve]

B) ...

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