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Determine from the shape of a distance–time graph when an object is:(a) at rest(b) moving with constant speed(c) accelerating(d) decelerating

Question

Determine from the shape of a distance–time graph when an object is:(a) at rest(b) moving with constant speed(c) accelerating(d) decelerating

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Solution

(a) At Rest: If the distance-time graph is a straight horizontal line, it means the object is at rest. This is because the distance the object is from a certain point is not changing as time passes.

(b) Moving with Constant Speed: If the graph is a straight line inclined at an angle to the time axis (other than 90 degrees), it means the object is moving at a constant speed. This is because the distance the object is covering is increasing uniformly with time.

(c) Accelerating: If the graph is a curve that slopes upwards, it means the object is accelerating. This is because the distance the object is covering is increasing at an increasing rate as time passes.

(d) Decelerating: If the graph is a curve that slopes downwards, it means the object is decelerating. This is because the distance the object is covering is increasing at a decreasing rate as time passes.

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