PLEASE HELP!!! PLEASE EXPLAIN AND SHOW WORK!!!! THANK YOU !!!!
1 answer:
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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The reference angle is
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