Question

will fan and Medal!

Answer 1

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) = -16t2 + 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


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

think you will agree that the "maximum" of \(f(t)\) is \(6.24\) right?

Answer 3

\[f(t) = -16t^2 + 26t\] maximum is where \(t=-\frac{26}{2\times(-16)}=\frac{13}{16}\) we gotta plug that in

Answer 4

oh no i made a mistake
the maximum of \(g\) is \(6.24\) not of \(f\)
the maximum of \(f\) is \(\frac{169}{16}=10.5625\) so \(f\) gets bigger than \(g\)

Answer 5

what about part C?

Answer 6

y-intercept is when x = 0