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zhuklara [117]
3 years ago
9

A chestnut falls out of a tree 45 feet above the ground. Use the vertical motion model, H=-16t^2+vt+s s to find how long it take

s to hit the ground. Round your answer to the nearest tenth. Remember to include units in your answer.
Mathematics
1 answer:
valentinak56 [21]3 years ago
7 0

Answer:

1.7 seconds

Step-by-step explanation:

we have

H=-16t^2+vt+s

where

v is the initial velocity (in feet per second)

s represents the initial height (in feet)

In this problem we have

v=0 ---> because the object is dropped

s=45\ ft

substitute

H=-16t^2+45

Remember that

When the chestnut hit the ground the value of H is equal to zero

so

For H=0

-16t^2+45=0

solve for t

16t^2=45\\t^2=2.8125\\t=\pm1.7\ sec

therefore

The solution is t=1.7 sec

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