Answer:
a = 132 m/s^2
Explanation:
f(t) = t^4 − 2t^3 − 6t^2 + 9t
v = f'(t) = 4t^3 - 6t^2 - 12t + 9
a = f''(t) = 12t^2 - 12t -12
Substitute t = 4 seconds into the equation for a:
a = 12(16) -12(4) -12 = 132 m/s^2
Answer:
0.447 sec
Explanation:
velocity = distance/ time
distance 'h' is a function of time 't' given by

⇒ differentiating equation
⇒ velocity = 
⇒ acceleration =
= 24 
deceleration due to gravity = -9.8 m/
= - 9.8 x 3.281 = - 32.154 ft/ 
Net deceleration = 24 - 32.154 = - 8.15 ft/
at maximum height v = 0
=
+ 2ah
⇒ 0 =
+ 2 (-8.15)h
⇒ h = 118.72 ft⇒
118.72 = 12
+ 44t + 16
⇒
- 102.72 = 0
⇒ t = -44 ±
/ (2 x 12)
t = 0.447 sec
<span>The expectations that come the with stereotype can pronounce a chain of events that will almost inevitably lead to their own confirmation.
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