Question

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1. A gymnast dismounts the uneven parallel bars. Her heighth depends on the
time t that she is in the air as follows
h = -16 t2 +8t +8
a) How long will it take the gymnast to reach the ground?
b) When will the gymnast be the 8 feet above the ground?
2. A tree is supported by a wire anchored in the ground 5 feet from its base. The
wire is 1 foot longer than the height that it reaches on the tree. Find the length
of the wire.​
please solve​

Answer 1

Answer:

1 sec

1/2 sec

Step-by-step explanation:

h = -16 t² +8t +8

gymnast to reach the ground => h = 0

=> -16 t² +8t +8 = 0

Dividing by - 8 both sides

=> 2t² - t - 1 = 0

=> 2t² -2t + t - 1 = 0

=> 2t(t - 1) + 1(t - 1) = 0

=> (2t + 1) (t - 1) = 0

=> t = 1

gymnast will take 1 sec to reach ground

When he gymnast be the 8 feet above the ground

=> -16 t² +8t +8 = 8

=> -16 t² +8t = 0

Dividing by - 8 both sides

=> 2t² - t = 0

=> t(2t - 1) = 0

=> t = 1/2

at t = 1/2 sec gymnast be the 8 feet above the ground