24. Quadratic Problems

Question

A golfer tees off from the 11th hole and the ball is projected through the air. The path of a golf ball can be modeled using the function h(t) = .5(-9.8)t^2 + 45t, where h is the height pf the golf ball, in meters, and t is time, in seconds.

A. When will the ball hit the ground again?

b. How high does the golf ball go? How long does it take to reach that height?

c. Will the golf ball go higher than 90 meters? If so, when? Use an inequality to find your answer.

Answer 1

A. 9.18367 seconds approximately after the ball is hit.

B. Maximum height occurs at -45/(-4.9)/2 = 4.5918367347 seconds approximately after the ball is hit. The height will be 103.316 Meyers.

C. -4.9t² +45t > 90

occurs when 2.94331 < x < 6.24035 (approximately), using the quadratic equation.