Forces

Instructions:

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In a Japanese game a $70\mathrm{.}0$ kg person tries to make their way up a ramp that is at an angle of $37\mathrm{.}3.$ The person slips and they slide $4\mathrm{.}00$ m down the ramp to a drop off. The coefficient of friction between the person and the ramp is $0\mathrm{.}333.$

a$.$ Use summation of forces to solve for the normal force and acceleration of the person.

b$.$ How long does it take for the person to reach the bottom of the ramp.