Algebraic Manipulation Worksheets - Algebra 2 Unit 5 (Chapter 4) - Buchanan Math Department Page 8
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114.
Cory is standing on a cliff that is 48 feet above the ground.
h
He throws a rock into the air. The height,
, of the rock
2
t
h
t
t
after
seconds is given by
= –2
+ 4
+ 48
a) How many seconds does it take to reach maximum height?
b) What is the rock’s maximum height?
c) How many seconds does it take for the rock to land on the
ground?
5.
Roger is standing at the top of a lighthouse.
He is 96 feet above the ocean. He throws a ball into
h
t
the air. The height,
, of the ball after
seconds
h
t
2
t
is given by
= –3
+ 12
+ 96
a) What is the ball’s maximum height?
b) How many seconds does it take to reach maximum
height?
c) How many seconds does it take for the ball to land in
the ocean?
6.
John throws a ball into the air from the top of a building that is 135 feet
h
t
tall.
The height,
, of the ball after
seconds is given by
2
h
t
t
= –5
+ 30
+ 135
How many seconds does it take for the ball to land on the ground?
7.
Nicki tosses a frisbee into the air from the balcony of a building that is 64
h
t
feet tall. The height,
, of the frisbee after
seconds is given by
h
t
2
t
= –8
+ 16
+ 64.
Find the maximum height of the Frisbee.
8.
Roger is standing on a hill that is 80 meters high. He throws a rock into the
h
t
air. The height,
, of the rock after
seconds is given by
2
h
t
t
= – 4
+ 32
+ 80
Find the time needed for the rock to reach its maximum height
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