$(20$ pts$.)$ The catapult used by the marauders hurls a stone of mass $37\mathrm{.}5$ kg with a velocity of $66\mathrm{.}0\frac{m}{s}$ at a $38\mathrm{.}0$ angle of elevation.

a$)$ What is the maximum height reached by the stone?

b$)$ What is its range $($defined as the horizontal distance traveled when the stone returns to its original height$)?$

c$)$ How long has the stone been in the air when it returns to its original height?

mass $=37\mathrm{.}5ig$

verocity $=66\frac{m}{s}$

veloity $=66\frac{m}{s}$ angleoperer $38$

a$)$ max hight?

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