# 7 solve your problem show all your steps you may use

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7. Solve your problem. Show all your steps. You may use the graph on the last page or show your work in the space below. t = 0.75 seconds h( t ) = -16(0.75) 2 + 24(0.75) + 7 h( t ) = 16 feet Your solution: (Round your answer to the nearest whole number.) The maximum height of the basketball will be at: 16 feet 8. What strategy would you use if you had to determine the maximum height for another player’s release height and initial vertical velocity stats? If you were going to email Elton Brand to explain your process , what would you tell him?

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Math in Basketball: Take the challenge Answer Key THE 3 KEY VARIABLES The Acceleration of Gravity – which causes a ball to speed up, or accelerate, when falling at a rate of -32ft/sec 2 . Use only downward pull or half of -32ft/sec 2 , which is - 16 t 2 . Initial Upward Velocity ( v 0 ) - the angle and speed when it leaves the player’s hand. Multiply by time to get the vertical distance traveled. Release Height ( h 0 ) - the starting position of the ball. ELTON BRAND STATS Elton’s Average Initial Upward Velocity: 24 ft/sec Elton’s Average Release Height: 7.0 ft STANDARD COURT MEASUREMENTS Height of the basketball hoop off the floor: 10 ft Distance from the free throw line to backboard 15 ft Diameter of hoop/rim 18 in FAST BREAK FACTS GRAPH YOUR DATA (0, 7) (0.14, 10) (0.75, 16) (1.36, 10) 0 2 4 6 8 10 12 14 16 18 0 0.15 0.3 0.45 0.6 0.75 0.9 1.05 1.2 1.35 1.5 Height (feet) Time (seconds)
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