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  • A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance moved by the body in time ' t ' is proportional to:  Option: 1 <img alt="t^{\frac{3}{2}}" src="/latex-image/?t%

A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance moved by the body in time ' t ' is proportional to:
 
Option: 1 t^{\frac{3}{2}}
 
Option: 2 \mathrm{t}^{\frac{1}{2}}
Option: 3 t^{\frac{1}{4}}
 
Option: 4 \mathrm{t}^{\frac{3}{4}}

Answers (1)

best_answer

P= constant

m v \frac{d v}{d t}= constant

v d v \propto d t

v^{2} \alpha \: t

v \propto t^{1 / 2}

\frac{d s}{d t} \propto t^{1 / 2}

\Rightarrow s \propto t^{3 / 2}
Distance travelled is directly proportional to t^{3 / 2}
The correct opfion is (1)

Posted by

vishal kumar

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