Question

HELP

The function H(t)=-16t^2+90t+50 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t)= 28+48.8t, where g(t) is the height, in feet, of the on object from the ground at time t seconds.
Part A) Create a table using integers 1 though 4 for the 2 functions. Between what 2 seconds is the solutions is the solution to H(t)=g(t) located? How do you know?
Part B) Explain what the solution from Part A means in the context of the problem

Answer 1

H(t)=-16t^2+90t+50

Answer 2

Right≥﹏≤

Answer 3

oh sorry let me check

Answer 4

yes

Answer 5

Ok

Answer 6

Im lost and I have almost no idea what this question is asking me please help!

Answer 7

They want you to create a table of values for x = 1 through 4 for both functions. Then compare them and see where they are equal.

Answer 8

Or I guess I should have said t = 1 through 4.

Answer 9

hmmm and after that? Do they want me to do the same for the second function?

Answer 10

Yes, calculate 1 through 4 for both functions. Then compare them.

Answer 11

okay and after i compare them?

Answer 12

Your comparing them to see where they are equal.

Answer 13

what is the goal for answering this question? (sorry for a lack of a better word)

Answer 14

You want to find where they meet.

Answer 15

"Between what 2 seconds is the solutions to H(t)=g(t) located? How do you know?" is mostly what I'm a little confused for. so this "Between what 2 seconds is the solutions to H(t)=g(t) located" means i have to find where they meet

Answer 16

so i have to make 2 tables with the 1 to 4 thing then the number that is closest to each other is the answer?

Answer 17

Yeah, make a table for both and compare the tables to see where they are close to each other

Answer 18

when i do find the answer then what does that mean for part B?

Answer 19

I think it means they are at the same height

Answer 20

Okay I see. Can i shout you out if i run into any bumps?

Answer 21

Can you graph the two equations? The batteries in my calculator are dead.

Answer 22

let me see

Answer 23

by the way it seems the numbers down seem to be not that close to each other

Answer 24

The problem says they meet somewhere between two seconds

Answer 25

I cant graph them >.<

Answer 26

i have
16t^2+90+50
(1) 156
(2) 262
(3) 368
(4) 474
and g(t) 28+ 48.8t
(1) 76.8
(2) 125.6
(3)174.4
(4) 223.2

Answer 27

give me a sec

Answer 28

ok

Answer 29

(1,124) (2, 166) (3, 176) (4, 154) for the coordinates of the first graph

Answer 30

Your Y coordinates are off because you used 16 instead of -16

Answer 31

aww man >.<

Answer 32

the coordinates for the second graph are correct. So take a look at where they come close to each other.

Answer 33

(1, 124) (2, 166) (3, 176) (4, 154)
(1, 76.8) (2,125.6) (3,174.4) (4, 223.2)

Answer 34

3rd one?

Answer 35

Yes. But the question asked between what 2 seconds.

Answer 36

At the 3 second mark the second projectile is slightly lower than the first.

Answer 37

what does this mean then?

Answer 38

It means it takes more than 3 seconds.

Answer 39

So between what 2 seconds do they cross paths?

Answer 40

Hmmm... I not sure ....

Answer 41

If it takes more than 3 seconds but less than 4 seconds

Answer 42

What two seconds is it between?

Answer 43

OH gosh i really don't know I'm sorry the only thing i can think of is like 3.5

Answer 44

It's not asking for an exact answer. Its asking between what 2 seconds the projectiles meet.

Answer 45

You know like between second 1 and 2.

Answer 46

And we know our projectiles are very near each other at the 3 second mark.

Answer 47

So it takes over 3 seconds for them to reach each other.

Answer 48

But less than 4 seconds

Answer 49

So they meet between what 2 seconds?

Answer 50

its between the 124 and 125.6 points on the table?

Answer 51

(3, 176) (4, 154)
(3,174.4) (4, 223.2)

Answer 52

ohhhh, duh so this is the answer. I was thinking about this too hard

Answer 53

Do you see how close the y coordinates are at 3? Now take a look at 4? They've passed each other. So between what two seconds do they meet?

Answer 54

(3, 176)
(3,174.4)?

Answer 55

Yes thats their coordinates at the 3 second mark. So it takes more than 3 seconds for them to meet. Theyve already passed each other at the 4 second mark. So between what two seconds do they meet?

Answer 56

They meet between the 3rd and 4th second.

Answer 57

Do you see that?

Answer 58

tes

Answer 59

*yes

Answer 60

so for part A is that the objects are at the same height between 3 and 4 seconds.

Answer 61

Yes

Answer 62

They are crossing paths or colliding at the 3 second mark

Answer 63

would that be also the answer for part b then?

Answer 64

And thats basically what part B is asking you. What are they doing between the 3rd and 4th seconds.

Answer 65

ohh okay ...

Answer 66

Pretty much, yeah. Part A also asks how you know they are crossing paths. You know that because of

Answer 67

You know the coordinates are close to each other right?

Answer 68

yea

Answer 69

so i know this because of the coordinates?

Answer 70

yup

Answer 71

ok i see. Thank you very much. Wouldn't have gotten it without your help! Thank you!

Answer 72

no problem