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Question

A stone is projected from level ground at time t = 0, let vx and vy be the horizontal and vertical components of velocity at any time t ; x and y are displacements along horizontal and vertical from the point of projection at any time t. Then (Neglect air friction)

A
vyt graph is a straight line
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B
xt graph is a straight line passing through origin
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C
yt graph is a straight line passing through origin
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D
vxt graph is a straight line
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Solution

The correct option is D vxt graph is a straight line
Let vx and vy be horizontal and vertical components of velocity respectively at t = 0. Then, vy=uygt
Hence, vyt graph is straight line.
x=vx t
Hence, x - t graph is straight line passing through origin.
The relation between y and t is y=uy t12gt2
Hence y-t graph is parabolic.
vx=constant
Hence, vxt graph is a straight line.

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