Question

check my work!!!!
. A 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: g(t):
0 0
0.4 6.24
0.6 7.44
0.7 7.56
0.8 7.36
1.0 6
1.4 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

Part a) the max of g(t) occurs when t=0.6 seconds, for f(t) since the parabola is concave 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
Part b) f(t) has greater x intercepts, meaning that when the labrador will land later than the fox when it jumps over the hurdle
Part c)?

Answer 3

@sourwing

Answer 4

@geerky42

Answer 5

@iPwnBunnies

Answer 6

I'm not all that good at explaining this sort of stuff, but I can try :)
if the graph shows how they jumped
what would the highest point represent?