ALGEBRA I Exam zo. A bird sitting 16 feet above the ground in an apple tree disl

Question

ALGEBRA I Exam zo. A bird sitting 16 feet above the ground in an apple tree dislodges an seconds does the apple land on the ground? (Assume no branche apple. After how s interfere with its fal ly A kicker punts a football from 3 feet above the ground with an initial velocity of 47 feet per second 30. Write an equation that gives the height (in fect) of the football as a function of the time (in seconds) since it was punted. 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 EA OF THE EXAM AND MAIL THE EXAM TO THE SCHOOL. 60

Explanation / Answer

29) the equation of motion can be wriiten as

h(t) = 1/2 gt^2 + vt + h

initial velovity = 0

h(t) = 1/2 (-32)t^2 + 0 + 16

h(t) = -16t^2 + 16

now plugging h(t) = 0

0 = -16t^2 + 16

-16 ( t^2 -1 ) = 0

t = + - 1

hence, after 1 second apple will land on the ground

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