A projectile is fired from a cliff 210 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 55feet per second. The height h of the projectile above the water is given by- 32x²h(x) =(55)2+ x+210where x is the horizontal distance of the projectile from the face of the cliff. Use this information to answer the following.(a) At what horizontal distance from the face of the cliff is the height of the projectile a maximum?feet(Write a simplified fraction or an integer as your answer.)X =(b) Find the maximum height of the projectile.h =feet(Write a simplified fraction or an integer as your answer.)(c) At what horizontal distance from the face of the cliff will the projectile strike the water?feetX =(Round to the nearest foot as needed.)(d) Graph the function h, 0sxs210. Which of the following shows the graph of h(x)?On all graphs, the window is [0, 210] by [0, 250], with each tick mark on the x-axis representing 20, and each on theh-axis representing 50.O A.В.C.D. A projectile is fired from a cliff 210 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 55feet per second. The height h of the projectile above the water is given by- 32x?h(x) =(55)2+ x+ 210where x is the horizontal distance of the projectile from the face of the cliff. Use this information to answer the following.(b) Find the maximum height of the projectile.h =feet(Write a simplified fraction or an integer as your answer.)(c) At what horizontal distance from the face of the cliff will the projectile strike the water?feetX =(Round to the nearest foot as needed.)(d) Graph the function h, 0sxs210. Which of the following shows the graph of h(x)?On all graphs, the window is [0, 210] by [0, 250], with each tick mark on the x-axis representing 20, and each on theh-axis representing 50.O A.В.C.D.(e) When the height of the projectile is 100 feet above the water, how far is it from the cliff?feet(Round to the nearest foot as needed.)

The height h of the projectile above the water is given byh(x)=-32x2(55)2+x+210 Note: Multiple sub…

A projectile is fired from a cliff 210 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 5 feet per second. The height h of the projectile above the water is given by - 32x? h(x) = (55)2 + x +210 where x is the horizontal distance of the projectile from the face of the cliff. Use this information to answer the following. (a) At what horizontal distance from the face of the cliff is the height of the projectile a maximum? x = feet (Write a simplified fraction or an integer as your answer.) (b) Find the maximum height of the projectile. h= feet (Write a simplified fraction or an integer as your answer.) (c) At what horizontal distance from the face of the cliff will the projectile strike the water? x = (Round to the nearest foot as needed.) feet (d) Graph the function h, 0 sxs210. Which of the following shows the graph of h(x)? On all graphs, the window is [0, 210] by [0, 250], with each tick mark on the x-axis representing 20, and each on the h-axis representing 50. O A. O B. C. D.