A body is moving along a straight line by a machine delivering constant power. The distance covered by the body in time #t# is proportional to #t^n#, then #n# is ??

1 Answer
Cesareo R.
Oct 29, 2017

#n = 3/2#

Explanation:

Assuming no friction losses and maintaining the same potential energy

#W = (dE)/(dt) = C_0# so

#E = C_0 t = 1/2mv^2# Mechanical Kinetic Energy.

#d = int v dt = int (2C_0)/m sqrt t dt = (2C_0)/m int sqrtt dt = 2/3 (2C_0)/m t^(3/2) = k t^(3/2)#

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