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oksian1 [2.3K]
3 years ago
7

PLEASE HELP!!! PLEASE EXPLAIN AND SHOW WORK!!!! THANK YOU !!!!

Mathematics
1 answer:
liraira [26]3 years ago
4 0

Answer:

t = 2.5 s

Step-by-step explanation:

h(t)=-16t^2 +80t+96

height will be greatest when the derivative (velocity) is zero

h'(t) = v(t) = -32t + 80

            0 = -32t + 80

         32t = 80

             t = 80/32 = 2.5 s

notice that 0 = -32t + 80 is just a version of the kinematic equation

v = u + at

where v is final velocity at the top of the arc or zero

u is the initial upward velocity or 80 ft/s

a is gravity or -32  ft/s²

t is time in seconds

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