SOLUTION: Science and Medicine. Find the time required for an object to fall to the ground from a building that is 1400 feet high. (Use the formula found in exercise 67.)
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-> SOLUTION: Science and Medicine. Find the time required for an object to fall to the ground from a building that is 1400 feet high. (Use the formula found in exercise 67.)
The formula in
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Question 108448This question is from textbook Beginning Algebra
: Science and Medicine. Find the time required for an object to fall to the ground from a building that is 1400 feet high. (Use the formula found in exercise 67.)
The formula in exercise 67:
t=1/4 square root s, in which s is the distance fallen.
I know the equation would look like this:
t=1/4 square root 1400
I don't know how to go about solving this equation. Can you help? This question is from textbook Beginning Algebra
You can put this solution on YOUR website! Find the time required for an object to fall to the ground from a building that is 1400 feet high.
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h(t) = -16t^2+ 1400
h(t) is the height of the object at time t-seconds
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When the object hits the ground its height is zero.
Let h(t) = 0 and solve for "t":
-16t^2 + 1400 = 0
16t^2 = 4000
t^2 = 4000/16
t = sqrt(4000)/4
t = 20sqrt(10)/4
t = 5sqrt(10)
t is approximately 15.81 seconds
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Cheers,
Stan H.
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