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
Algebra ->
Human-and-algebraic-language
-> 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
Log On
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):
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.
