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Lelu [443]
3 years ago
14

The function f(t)=16t2 represents the distance (in feet) a dropped object falls in t seconds. The function g(t)=s0 represents th

e initial height (in feet) of the object. A coin purse is dropped from a height of 144 feet. After how many seconds does the coin purse hit the ground?
Mathematics
1 answer:
PtichkaEL [24]3 years ago
4 0

Answer:

After 3 sec the object touches the ground

Step-by-step explanation:

The initial height of the object is s_0 = 144\ feet

The function that represents the distance of the object as a function of time is:

f (t) = 144-16t ^ 2

So, when the object touches the ground we have to:

f (t) = 0

So:

0 = 144 - 16t ^ 2

16t ^ 2 = 144

f (t) = g (t)

We solve the equation for t:

t ^ 2 = \frac{144}{16}

t ^ 2 = 9

t = +3    and     t = -3

We take the positive solution.

t = 3\ sec.

After 3 sec the object touches the ground

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