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A body is initially at rest. It undergoe...

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 (i) `t^(1//2)` (ii) t (iii) `t^(3//2)` (iv) `t^(2)`

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To solve the problem step by step, we will analyze the motion of the body under constant acceleration and derive the expression for power delivered to it at time \( t \). ### Step 1: Understand the motion of the body The body starts from rest and moves with constant acceleration \( a \). The initial velocity \( u = 0 \). ### Step 2: Use the equation of motion to find velocity The equation of motion gives us the velocity \( v \) at time \( t \): \[ ...
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Knowledge Check

  • A body starts from rest and acquires velocity V in time T . The instantaneous power delivered to the body in time 't' proportional to

    A
    `(V)/(T) t`
    B
    `(V^(2))/(T) t^(2)`
    C
    `(V^(2))/(T^(2)) t`
    D
    `(V^(2))/(T^(2)) t^(2)`
  • A body is being moved from rest along a straight line by a machine delivering constant power. The distance covered by body in time t is proportional to

    A
    `sqrtt`
    B
    `t^(3//2)`
    C
    `t^(3//4)`
    D
    `t^(2)`
  • A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time t is proportional to

    A
    `t^(3//4)`
    B
    `t^(1//2)`
    C
    `t^(1//4)`
    D
    `t^(1//2)`
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