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8. Starting from a stationary position, Anil paddles his bicycle to attain a velocity of10 m/s in 25 s. Then he applies brakes such that he again come to rest after next 50Calculate the acceleration of the bicycle in both the cases.in physics |
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Answer» Case \(I:\) initial velocity,\(u=0\) final velocity,\(v=10\ m/s\) time, \(t=25\ s\) From the equation of motion, we have \(v=u+at\) where \(a\) is acceleration. \(10=0+a(25)\) \(a=\frac{10}{25}=\frac{2}{5}=0.4\ m/s^2\) Case \(II\) initial velocity,\(u=10\ m/s\) final velocity, \(v=0\) time, \(t=50\ s\) From the equation of motion, we have \(v=u+at\) where \(a\) is acceleration. \(0=10+a\times50\) \(a=\frac{-10}{50}=-0.2m/s^2\) Let \(s\) be the total distance COVERED by the Anil. From the equation of motion, we have \(s = ut+\frac{1}{2} at^2\) \(s=10 \times50 + \frac{1}{2}\times (-0.2)\times(50)^2\) \(s = 500+250\) \(s = 750\ m\) |
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