Analyzing the motion of a projectile a projectile is fired
can 200 feet above the water at an inclination of
to the horizontal with a muzzle velocity of 50 feet per
second. the height of the projectile above the water is
modeled by
(50)?
where is the horizontal distance of the projectile from the
face of the cliff
(a) at what horizontal distance from the face of the cliff is
the height of the projectile a maximum?
(b) find the maximum height of the projectile.
(c) at what horizontal distance from the face of the cliff
will the projectile strike the water?
(d) using a graphing utility graph the function
osrs 200.
(e) use a graphing utility to verify the solutions found in
parts (b) and (c)
(1) when the height of the projectile is 100 feet above the
water how far is it from the cliff?