Consider a projectile launched at a height h feet above the ground and at an angle e 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(v, cos(0)) and y h+ (v, sin r - 16 A rectangular equation for the path of this projectile is y=5+x-0.008x. (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 (secte)) tan(e)x +h (b) Find h, v and 8. (Round your answers to two decimal places.) (c) Use a graphing utilty 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. 50 40 50 40 30 30 20 20 10 10 50 100 150 20 40 60 80
Consider a projectile launched at a height h feet above the ground and at an angle e 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(v, cos(0)) and y h+ (v, sin r - 16 A rectangular equation for the path of this projectile is y=5+x-0.008x. (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 (secte)) tan(e)x +h (b) Find h, v and 8. (Round your answers to two decimal places.) (c) Use a graphing utilty 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. 50 40 50 40 30 30 20 20 10 10 50 100 150 20 40 60 80
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 12T
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