Question

7. (3) Big Red was so excited about the possibility of seeing Carrie Underwood at the CMA Festival in Nashville, TN that he climbed a 10-foot set of bleachers and jumped off it. (a) Assume that for a falling object, the height above the ground is given h(t) = -29t+to+do, where g = 32 ft/s. If Big Red's initial velocity is 8 ft/s, what is the equation describing Big Red's height above the ground as a function of time t? (b) What is Big Red's maximum height? (c) At what time does Big Red reach his maximum height? (d) (Note: This is not a question. Just a conclusion to the story.) Unfortunately, Big Red was unable to see Carrie Underwood because she was preoccupied attending the Stanley Cup finals; her husband Mike Fisher was playing for the Nashville Predators in the Finals. Instead, Big Red was going to see Keith Urban sing a duet with a hologram of Carrie Underwood, until Keith Urban backed out at the last minute with laryngitis. Fortunately, Dr. Bruce Kessler, WKU Math Department Head, was at the concert. He stepped on stage and saved the day by singing the duet with the hologram of Carrie Underwood. He received chants of BRUUUUUUCCOCCE, like Bruce Springsteen receives at his concerts.

Answer 1

(a) Assume that for a falling object the height above. the ground is given hit) = – 1 gt² + vot + So where = 32 ft/sec². If initial velocity vo=8ftys and initial height so = 10 feet, then equation hct) = -4 (32) +2+ 8t+10 h(t) = (- 16t² +8t+10] (6) Maximum height: critical porrist h't) = 0 hilt) = -32t+8=0 & t=0 / 2 = + second Second derivatre test hit) = -32 <0 therefore height is maximum for t= 1 second. h(t) = -1667° +817) +10 = -1 + 2 + 10 = 11 Maximum height = 1 feet. (0) Big Red reach his maximum height after #seconds from his jumb. 3