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 theprojectile 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))2y =x² + tan(0)x + hVo(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 theparametric equations.605040302050100150105010015060506050404030302010501001501020406080(d) Use a graphing utility to approximate the maximum height of the projectile. (Round your answers to two decimal places.)ftWhat is the approximate range of the projectile?ft20

“Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved.”. Given projectile is launched from a height h. And the parameters of the path are x=t(vocosθ), ..............(1) y=h+(vosinθ)t-16t2 . ..........(2) A. Given rectangular equation . ..........(3) Now from equation (1) Putting this value in equation (2) we get This is the result.b). Comparing equation (3) and (5) we get By equating constant term h=7 ft Equating the coefficient of x we get Equating the coefficient of x2 and using the value of θ we get This is the answer.C) From equation (3) At x=0 y=7 And at y=0 Therefore at y=0, x=131.6 And from figure we can see only option (3) satisfied both conditions. Therefore option (3) is correct answer.

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Advanced Physics

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 vo feet per second, the path of the projectile is modeled by the parametric equations x = t(vo cos(0)) and y = h + (v, 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 (b) Find h, vo, and 0. (Round your answers to two decimal places.) Vo = (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. 60 50 40 30 20 50 100 150 10 50 100 150 60 50 60 50 40 40 30 30 20 10 20 50 100 150 10 20 40

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 vo feet per second, the path of the projectile is modeled by the parametric equations x = t(vo cos(0)) and y = h + (v, 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 (b) Find h, vo, and 0. (Round your answers to two decimal places.) Vo = (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. 60 50 40 30 20 50 100 150 10 50 100 150 60 50 60 50 40 40 30 30 20 10 20 50 100 150 10 20 40