Question

Reason: Acceleration as 1 2. Assertion: When the displacement of a body is directly proportional to the square of the time. Then the body is moving with uniform acceleration. Reason: The velocity-time graph during uniform acceleration is a straight line.​

Answer 1

Answer: Let, s be the displacement at time t.

Then it is given, s α (t^2)

Or, s = k * (t^2), where k is constant of proportionality.

Taking derivative of both sides with respect to t, we see:

Time rate of change of displacement = velocity = v = ds / dt = k * (2t)

Again taking derivative of the above equation with respect to t, we see:

Time rate of change of velocity = acceleration = a = dv / dt = d^2 s / dt^2 = k * 2 = (2k), since this is independent of t, so it is constant. Therefore, we can say that, the body is moving with uniform acceleration.

Explanation:

hope you enjoys the question