Question

NEED HELP REALLLLY BAD PLEASE. FAN AND MEDAL
An Labrador leaps over a hurdle. The function f(t) represents the height of the Labrador above the ground, in inches, at t seconds:

f(t) = -16t^2 + 26t

A foxhound jumps over the same hurdle. The table shows the height of the foxhound above the ground g(t), in inches, at t seconds:
Time (t) g(t)
0 0
0.4 5.44
0.6 6.24
0.7 6.16
0.8 5.76
1.0 4
1.2 0

Answer 1

Part A: Compare and interpret the maximum of f(t) and g(t)? (4 points)

Part B: Which function has a greater x-intercept? What do the x-intercepts of the graphs of f(t) and g(t) represent? (4 points)

Part C: Determine the y-intercepts of both functions and explain what this means in the context of the problem. (2 points)

Answer 2

so in order to compare f(t) and g(t), you have to find the function of g(t)

Answer 3

How do I do that ? :/

Answer 4

\(\{y_2 - y_1/x_2-x_1}\)

Answer 5

do you know how to do that?

Answer 6

So .. 5.44 - 0/0.4 - 0??

Answer 7

wait never mind ur correct

Answer 8

So 13.6 ?

Answer 9

what does 13.6 represent ?

Answer 10

ok thats for the first one now try the others

Answer 11

What is this doing though? Like what will I do with the numbers after I find them?

Answer 12

that is supposed to be for the slope

Answer 13

the max of g(t) occurs when t=0.6 seconds

Answer 14

so that is the highest point

Answer 15

Ok hold on let me try to find it

Answer 16

for f(t) since the parabola is goes down due to the negative sign then we know that there is a max on the parabola, the max for f(t) occurs at (13/16,169/16) 169/6=10.5625inches at time 0.8125seconds

Answer 17

all of that is for A \(\uparrow\)

Answer 18

So .. I can't find where it hits 0.6 ..

Answer 19

Oh, 6.24 ? When the time is at 0.6 ?

Answer 20

B) f(t) has greater x intercepts, meaning that when the labrador will land later than the fox when it jumps over the hurdle

Answer 21

So the maximum for g(x) is at time 0.6, and the maximum for f(x) is at (13/16,169/16) 169/6=10.5625 inches at time 0.8125 seconds?

Answer 22

That would be A right ?

Answer 23

yes that is for A

Answer 24

and i gave you B

Answer 25

And now for C

Answer 26

now for C, y inter represents that height for where they start

Answer 27

which should be 0 for g(t)

Answer 28

and for f(t), multiply the value of t by 26

Answer 29

Can I inbox you for more help on other questions ?

Answer 30

similar to this?

Answer 31

Yes.

Answer 32

sure

Answer 33

Thank you so much!

Answer 34

Messaged you(:

Answer 35

msgd back:)

Answer 36

can anyone clear up c?