On level ground, a shell is fired with an initial velocity of $50$ m$/$s at $53$ above the horizontal and feels no air resistance.

a$.(3$ points$)$ How long does it take the shell to strike the ground?

$$

$$

$$

$$

b$.(3$ points How far from the firing point does the shell land?

$$

$$

$$

$$

c$.(3$ points$)$ What is$$ velocity at point c before strikking the ground?

$$