Item 10 the height y (in feet) of an arrow t seconds after it is shot from a bow can be modeled by the function y=−16t2+80t + 6. a. write the function in vertex form. y= b. find the maximum height of the arrow. the maximum height of the arrow is feet. c. how long does it take the arrow to hit the ground? round your answer to the nearest second. it takes about seconds for the arrow to hit the ground.

Part a) The function in vertex form is

Part b) The maximum height of the arrow is 106 feet

Part c)  It takes about 5 seconds for the arrow to hit the ground

Step-by-step explanation:

we have

where

y ---->  is the height (in feet) of an arrow

t ----> is the time in seconds after it is shot from a bow

This is the equation of a vertical parabola open downward

The vertex is a maximum

Part a) Part b) Write the function in vertex form. Find the maximum height of the arrow

we have

Factor -16

Complete the squares

Rewrite as perfect squares

----> equation in vertex form

The vertex is the point (2.5,106)

The maximum height of the arrow represent the y-coordinate of the vertex of the function

therefore

The maximum height of the arrow is 106 feet

Part c) How long does it take the arrow to hit the ground?

we know that

When the arrow hit the ground the value of y is equal to zero

so

For y=0

take square root both sides

therefore

It takes about 5 seconds for the arrow to hit the ground

answer: what is the conflict?

step-by-step explanation:

*what has happened to new york city?

*what is in the time capsule?

* what did the kidz see that gave them hope?

*what will they do with what they find?

* how will they save the city?

* what challenges will they face along the way?

*what big choice will they make at the climax of the story?

* what lesson do they learn at the end of the story?

it is 570

step-by-step explanation: