First slide

Power

Question

A body is moving unidirectionally under the influence of a source of constant power supplying energy. Which of the diagrams shown in figure, correctly shows the displacement-time curve for its motion?

Moderate

A
B
C
D

Solution

If P=constant =k (assume0
$P = m \frac{d v}{d t} v = k v d v = \frac{k}{m} d t o n i n t r e g a t i n g \frac{v^{2}}{2} = \frac{k}{m} t o r, v = \sqrt{\frac{2 k t}{m}} \frac{d s}{d t} = \sqrt{\frac{2 k}{m}} t^{\frac{1}{2}} a g a i n o n i n t r e g a t i n g s \infty t^{\frac{3}{2}} so as t increases s also increases as slope of s - t curve is also positive and increasing with time so 2 is the correct option$

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