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

The coin purse hit the ground in 3 seconds.

Step-by-step explanation:

Given :

  ----- (represent the distance(in feet) a dropped object falls in t seconds)

 ------ (represent the initial height (in feet) of the coin purse)

Calculation:

The function that represents the distance a dropped coin purse falls in t seconds,

When the coin purse touches the ground,

t = +3 and t = -3

So we take positive t.

Therefore, the coin purse hit the ground in 3 seconds.

For more information, refer the linbk given below

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After 3 sec the object touches the ground

Step-by-step explanation:

The initial height of the object is

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

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

So:

We solve the equation for t:

   and    

We take the positive solution.

.

After 3 sec the object touches the ground

215.92 dollars is the answer