Problem

A body is moving down an inclined plane of slope

37^\circ

. The coefficient of friction between the body and the plane varies as

\mu = 0.3x

, where

x

is the distance traveled down the plane by the body. The body will have maximum speed.

\left( \sin 37^\circ = \frac{3}{5} \right)

a. at

x = 1.16

m b. at

x = 2

m c. at bottommost point of the plane d. at

x = 2.5