Question

Transcribed Image Text:Consider a projectile launched at a height h feet above the ground and at an angle 0 with the horizontal. If the initial velocity is v, feet per second, the path of the
projectile is modeled by the parametric equations x =
t(vo cos(0)) and y = h + (vo sin 0)t - 16t2.
A rectangular equation for the path of this projectile is y = 7 + x - 0.008x².
(a) Eliminating the parameter t from the position function for the motion of a projectile to shows that the rectangular equation is as follows.
-16 (sec(0))2
y =
x² + tan(0)x + h
Vo
(b) Find h, vo, and 0. (Round your answers to two decimal places.)
Vo
%3D
(c) Use a graphing utility to graph the rectangular equation for the path of the projectile. Confirm your answer in part (b) by sketching the curve represented by the
parametric equations.
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(d) Use a graphing utility to approximate the maximum height of the projectile. (Round your answers to two decimal places.)
ft
What is the approximate range of the projectile?
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