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1. Write an equation that gives the height (in feet) of the football as a functi

ID: 3136135 • Letter: 1

Question

1. Write an equation that gives the height (in feet) of the football as a function of the time (in seconds) since it was punted. 2. Find the height (in feet) of the football 2 seconds after the punt. 3. Calculate how many seconds after the punt the ball would hit the ground. A kicker punts a football from 3 feet above the ground with an initial velocity of 47 feet per second. Write an equation that gives the height (in feet) of the football as a function of the time (in seconds) since it was punted. 30. 31. Find the height (in feet) of the football 2 seconds after the punt. 32. Calculate how many seconds after the punt the ball would hit the ground. FILL IN YOUR NAME AND THE OTHER REQUIRED INFORMATION ON EACH PAGE OF THE EXAM AND MAIL THE EXAM TO THE SCHOOL 60

Explanation / Answer

31) h = -16 *2^2 + 47 * 2 + 3

         = 33

32) -16t^2 + 47t + 3 = 0

or, -16t^2 + 48t - t + 3 = 0

or, -16t(t - 3) - 1(t - 3) = 0

or, (t - 3)(-16t - 1) = 0

t = 3 or t = -1/16

so t = 3