SOLUTION: A rock falls from a tower that is 127.4 m high. As it is falling, its height is given by the formula h(t)=127.4-4.9t^2. How many seconds will it take for the rock to hit the ground
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Question 745008: A rock falls from a tower that is 127.4 m high. As it is falling, its height is given by the formula h(t)=127.4-4.9t^2. How many seconds will it take for the rock to hit the ground (h=0)?
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
When it hits the ground, the height will be zero.
h(t) = 127.4 - 4.9tē
0 = 127.4 - 4.9tē {substituted 0 in for the height, h(t)}
4.9tē = 127.4 {added 4.9tē to each side}
tē = 26 {divided each side by 4.9}
t ≈ 5.1 {took the square root of each side and rounded}
In approximately 5.1 seconds, it will hit the ground.
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