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marta [7]
3 years ago
8

While setting up a fireworks display, you have a tool at the top of the

Mathematics
1 answer:
atroni [7]3 years ago
8 0

Answer:

0.79 sec

Step-by-step explanation:

Given there is a tool at the top of the building which is dropped by a worker and it follows the following equation at every instant of time .

h(t)=-16t^{2} +h_{0}

where h_{0} =10 feet

We know that this height is measured from the base of the building which means that when the tool reaches the bottom of the building it has h = 0 feet.

Let this be done at time t

h(t) = 0

-16t^{2} +10=0

t^{2} =\frac{10}{16}

t=\frac{\sqrt{10} }{4}

t = 0.79 sec

Therefore the total time taken by the tool to reach the bottom of the building is 0.79 sec.

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