Question

what is the path of a velocity -time graph of a body moving with uniform acceleration

Answer 1

Answer :

The slope of a velocity-time graph determines its acceleration. Above is the velocity time graph for three objects A, B, and C. A flat horizontal line in a velocity-time graph states that the body is moving at a constant velocity.

Explanation:

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Answer 2

Answer:

The velocity time-graph graph of a body moving with uniform acceleration represents a straight line.

Explanation:

We know that a body moving with a speed 'v' whose initial velocity given by 'u' for a time 't' has a uniform acceleration (a) equal to:

a = (v - u)/t

or v = u + at....(1)

We know that the equation of a straight line is given by:

y = mx +c.....(2)

where, m = slope of the line, c = constant, and "x", "y" are variables.

Now comparing equations (1) and (2)

m = a(As acceleration is uniform; a constant), c = u (As initial velocity is fixed; a constant)

And on the y-axis, we have final velocity (v) and on the x-axis, we have time (t) coordinate.

Therefore, the velocity time-graph graph of a body moving with uniform acceleration represents a straight line.

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