Question

The velocity of a body is given by v = sqrt(25 + 20x) , where x is displacement of the body. The ratio of the displacements of the body in first second and fifth second is


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Answer 1

Answer:

x=Asin(2πt+ 3π) Velocity is maximum at mean position i.e. x=0 ⇒sin(2πt+ 3π )=0 ⇒(2πt+ 3 π)=0,π,2π,3π....if we take (2πt+ 3π)=0, time will come negative which is not possible. So we take (2πt+ 3π)=π⇒t= 31s=0.33s

for other solutions, we will get higher values of time. but Since it is asking for the first time after t=0, the required solution will be t=0.33s