10. (Modeling) Height of a Projectile A projectile is fired vertically upward, and its
height s(t) in feet after t seconds is given by the function defined by
s(t) = -16t² + 800t + 600.
(a) From what height was the projectile fired?
(b) After how many seconds will it reach its maximum height?
(c) What is the maximum height it will reach?
(d) Between what two times (in seconds, to the nearest tenth) will it be more than
5000 ft above the ground?
(e) How long to the nearest tenth of a second will the projectile be in the air?
fuel