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An automobile of mass ' \(m\) ' accelerates starting from origin and initially at rest, while the engine supplies consta…

Q1

An automobile of mass ' \(m\) ' accelerates starting from origin and initially at rest, while the engine supplies constant power \(P\). The position is given as a function of time by :

[JEE Main 2021, 18 March (Shift 1)]

a

\(\left(\frac{8 P}{9 m}\right)^{\frac{1}{2}} t^{\frac{3}{2}}\)

b

\(\left(\frac{9 P}{8 m}\right)^{\frac{1}{2}} t^{\frac{3}{2}}\)

c

\(\left(\frac{9 m}{8 P}\right)^{\frac{1}{2}} t^{\frac{3}{2}}\)

d

\(\left(\frac{8 P}{9 m}\right)^{\frac{1}{2}} t^{\frac{2}{3}}\)

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