Please help me how to do this. 35. Motion of a Golf BallA golf ball is hit withan initial velocity of130 feet per second at aninclination of 45° to thehorizontal. In physics, itis established that theheight h of the golf ballis given by the functionh(x)=-32x²130²+ xwhere x is the horizontaldistance that the golf ballhas traveled.(a) Determine the height of the golf ball after it has traveled100 feet.(b) What is the height after it has traveled 300 feet?(c) What is h (500)? Interpret this value.(d) How far was the golf ball hit?(e) Use a graphing utility to graph the function h = h(x).(f) Use a graphing utility to determine the distance that theball has traveled when the height of the ball is 90 feet.0 and ATbl = 25. To(g) Create a TABLE with TblStartthe nearest 25 feet, how far does the ball travel beforeit reaches a maximum height? What is the maximumheight?(h) Adjust the value of ATbl until you determine the distance,to within 1 foot, that the ball travels before it reaches itsmaximum height. 11. Use the given graph of the function f to answer parts (a)-(n).(-3,0)-5(-6, -3)(0, 3)(-5, -2)YA-3-(2, 4)(4,3)5(6,0)(a) Find f (0) and f(-6).(b) Find f (6) and ƒ(11).(c) Is f(3) positive or negative?(d) Is f(-4) positive or negative?(e) For what values of x is f(x) = 0?(f) For what values of x is f (x) > 0?(g) What is the domain of f?(h) What is the range of f?(i) What are the x-intercepts?(j) What is the y-intercept?(k) How often does the line y(10,0)-(11, 1)für11 X(8,-2)intersect the graph?2(1) How often does the line x = 5 intersect the graph?(m) For what values of x does f(x) = 3?(n) For what values of x does f(x) = -2?

35. Motion of a Golf Ball A golf ball is hit with an initial velocity of 130 feet per second at an inclination of 45° to the horizontal. In physics, it is established that the heighth of the golf ball is given by the function h(x) = -32x² 130² + x where x is the horizontal distance that the golf ball has traveled. (a) Determine the height of the golf ball after it has traveled 100 feet. (b) What is the height after it has traveled 300 feet? (c) What is h (500)? Interpret this value.