A body is initially at rest. It undergoes a one-dimensional motion with constant acceleration. The power delivered to it at time \(t\) is proportional to,
1. \( t^{1 / 2} \)
2. \(t \)
3. \(t^{3 / 2} \)
4. \(t^2\)$\mathrm{}$

A body is moving unidirectionally under the influence of a source of constant power. Its displacement in time \(t\) is proportional to,
1. \(t^{1/2}\)
2. \(t\)
3. \(t^{3/2}\)
4. \(t^{2}\)

A pump located on the ground floor of a building is used to fill a water tank of volume \(30~\text{m}^3\) in \(15\) min. The tank is situated \(40\) m above the ground, and the efficiency of the pump is \(30\text{%}.\) The electric power consumed by the pump is:
1. \(44.4\) kW
2. \(44\) kW
3. \(40.7\) kW
4. \(45\) kW