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vagabundo [1.1K]
3 years ago
10

Which of the following expressions is this one equivalent to

Advanced Placement (AP)
1 answer:
In-s [12.5K]3 years ago
8 0
C there is a photo on why is it c

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What kingdom is closest to the animal kingdom?
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A ball is thrown into the air at a velocity of 44 feet per second. Its height in feet, h after t seconds is represented by the e
Lady_Fox [76]

Answer:

0.447 sec

Explanation:

velocity = distance/ time

distance 'h' is a function of time 't' given by

h = 12t^{2} + 44t + 16

⇒ differentiating equation

⇒ velocity = \frac{dh}{dt} = 24t + 44

⇒ acceleration = \frac{d^{2}h }{dt^{2} } = 24 \frac{ft}{sec^{2} }

deceleration due to gravity = -9.8 m/sec^{2} =  - 9.8 x 3.281 = - 32.154 ft/ sec^{2}

Net deceleration = 24 - 32.154 = - 8.15 ft/ sec^{2}

at maximum height v = 0

v^{2} = u^{2} + 2ah

⇒  0 = 44^{2} + 2 (-8.15)h

⇒ h = 118.72 ft⇒

118.72 = 12t^{2} + 44t + 16

⇒ 12t^{2} +44t - 102.72 = 0

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