A projectile is launched from the ground with an initial speed of 200 ft/sec at an angle of 60° with the horizontal.

a) Find parametric equations that give the position of the projectile at time t, in seconds.

b) Graph the plane curve represented by the equations found in part (a).

c) Find the height of the projectile after 4 sec and after 8 sec.

d) Determine how long the projectile is in the air.

e) Determine the horizontal distance that the projectile travels.

f) Find the maximum height of the projectile.