Answer:
it's not English, sorry I can't help.
The answer is no because 10 days from may 5 is the 15 and then 10 days after that is the 25
This can solved graphically, using algebraic manipulation or differential calculus.
Plotting the equation will generate a parabola. The vertex represents the point where the ball will reach the maximum height.
The vertex can be determined by completing the square
h = -16t2 + 45t + 5
h - 5 = -16(t2 - 45/16t)
h - 5 - 2025/64 = -16(t2 - 45/16t + 2025/1024)
(-1/16)(h - 2345/64) = (t - 45/32)^2
The vertex is
(45/32,2345/64) or (1.41,36.64)
The maximum height is 36.64 ft
Using calculus, taking the first derivative of the equation and equating to 0
dh/dt = 0 = -32t + 45
t = 45/32
Substituting this value to the equation
h = -16(45/32)^2 + 45(45/32) + 5
h = 36.64 ft
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Pick 2 coordinates:
I choose first & last one (0,15) & (8-9)
Change in y is 24
(15--9 = 24)
Change in x is 8
(0 - 8) = - 8
24/-8 = - 3
So, slope = - 3
Hope this helps!
