In a pole-sliding game among friends, a $90-\mathrm{kg}$ man makes a total vertical drop of $7.0 \mathrm{~m}$ while gripping the pole which exerts and upward force (call it $F_{\mathrm{p}}$ ) on him. Starting from rest and sliding with a constant acceleration, his slide takes 2.5 s. (a) Draw the man's free body diagram being sure to label all the forces.
(b) What is the magnitude of the upward force exerted on the man by the pole? (c) A friend whose mass is only $75 \mathrm{~kg}$, slides down the same distance, but the pole force is only $80 \%$ of the force on his buddy. How long did the second person's slide take?