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# A Body is Initially at Rest. It Undergoes One-dimensional Motion with Constant Acceleration. the Power Delivered to It at Time T Is Proportional to - CBSE (Science) Class 11 - Physics

ConceptThe Conservation of Mechanical Energy

#### Question

A body is initially at rest. It undergoes one-dimensional motion with constant acceleration. The power delivered to it at time is proportional to

1) t^(1/2)

2) t

3)t^(3/2)

4)t^2

#### Solution

2) t

Mass of the body = m

Acceleration of the body = a

Using Newton’s second law of motion, the force experienced by the body is given by the equation:

F =ma

Both m and are constants. Hence, force will also be a constant.

F = ma = Constant … (i)

For velocity v, acceleration is given as,

a = (dv)/(dt) = Constant

dv = Constant x dt

va = alphat ....(ii)

Where alpha is another constant

v prop t

Power is given by the relation:

P = F.v

Using equations (i) and (iii), we have:

t

Hence, power is directly proportional to time.

Is there an error in this question or solution?

#### APPEARS IN

NCERT Solution for Physics Textbook for Class 11 (2018 to Current)
Chapter 6: Work, Energy and Power
Q: 9 | Page no. 136
Solution A Body is Initially at Rest. It Undergoes One-dimensional Motion with Constant Acceleration. the Power Delivered to It at Time T Is Proportional to Concept: The Conservation of Mechanical Energy.
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