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

link

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

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

answer: 590

step-by-step explanation: