Draw the following graphs representing motion of an object under free fall 1. Variation of velocity with respect to time 2. Variation of acceleration with respect to time?

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Answer

Graphs representing motion of an object under free fall

Variation of velocity with respect to time

The graph of velocity vs time for an object under free fall would be a straight line.

The slope of the line would be equal to the acceleration due to gravity.

The velocity of the object would increase at a constant rate as it falls.

If the object is thrown upwards, the velocity would decrease at a constant rate until it reaches zero at the peak of its motion, and then it would increase at a constant rate until it reaches its initial velocity.

The area under the graph represents the displacement of the object.

At the peak of the motion, the slope of the graph would be zero.

Variation of acceleration with respect to time

The graph of acceleration vs time for an object under free fall would be a straight line.

The slope of the line would be zero, as the acceleration due to gravity is constant.

The acceleration of the object would be constant throughout its motion.

If the object is thrown upwards, the acceleration would be negative, as it opposes the motion of the object.

The area under the graph represents the change in velocity of the object.

At the peak of the motion, the acceleration of the object would be equal to the acceleration due to gravity.

In conclusion, the graphs representing the motion of an object under free fall would be straight lines, with the velocity vs time graph having a slope equal to the acceleration due to gravity, and the acceleration vs time graph having a slope of zero. The velocity of the object would increase at a constant rate, while the acceleration would be constant throughout its motion. The area under the graph represents the displacement and change in velocity of the object.

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