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Y_Kistochka [10]
3 years ago
9

25 POINTSSSS // A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 11

0 feet per second. What is the maximum height, in feet, the ball will attain?
Round to the nearest hundredth
Mathematics
2 answers:
Katena32 [7]3 years ago
8 0
What grade of math is this. I suck at math so sorry can't help you dude



Irina18 [472]3 years ago
4 0
1st let's calculate the time needed to reach the maximum distance

h(t) = - 1/2 gt² + v₀t + h₀
h(t) = - 1/2 (9.8).t² + 110.t + 2 ; h(t) = -4.9.t² +110.t + 2
The time needed to reach the maximum height is when the derivative
 of h(t) is equal to 0:
h'(t) = 2(-4.9).t + 110 → h'(t) = -9.8.t + 110 = 0 and t = 11.22 seconds
Now to find the maximum height reaches, replace t with 11.2 in the equation
h(t) = -4.9.t² +110.t + 2

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Step-by-step explanation:

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