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KJ4UTS
 one year ago
Suppose a rock is thrown upwards from the top of a building 200 feet high with an initial velocity of 96 feet per second. The height (in feet) of the rock above the ground t seconds after being released is given by the formula
h(t) = 16t^2 + 96t + 200
1.When will it hit the ground?
2.How high will it be after 2.1 seconds?
3.What is the maximum height?
KJ4UTS
 one year ago
Suppose a rock is thrown upwards from the top of a building 200 feet high with an initial velocity of 96 feet per second. The height (in feet) of the rock above the ground t seconds after being released is given by the formula h(t) = 16t^2 + 96t + 200 1.When will it hit the ground? 2.How high will it be after 2.1 seconds? 3.What is the maximum height?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.01. It will hit the ground when h(t) = 0 so you need to solve \[16t^2+96t+200=0\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0try the quadratic formula

KJ4UTS
 one year ago
Best ResponseYou've already chosen the best response.1Would it be t=3√ 43/2=1.63 and 3+√ 43/2=7.63

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes, and since time can't be negative, it hits the ground at 7.63 seconds.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0For 2, plug in 2.1 for t to find h(2.1).

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes. and then for 3 there are two steps. Use \(t=\frac{ b }{ 2a }\) to find the time of max height. Then plug that time into the h(t) equation

KJ4UTS
 one year ago
Best ResponseYou've already chosen the best response.1Im a little confused as to what I plug into b and a?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the same values you used in the quadratic equation a = 16, b = 96, c = 200

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[t=\frac{ 96 }{ 2(16) }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0now plug 3 in for t in the original equation

KJ4UTS
 one year ago
Best ResponseYou've already chosen the best response.1Ok I got 344 thank you for explaining this step by step :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah that's it. you're welcome. :)
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