The ball's velocity will be represented by the derivative of its distance function:
Now find the times
for which this is equal to 30, i.e. solve
This has two solutions,
, but only one is positive and falls in the interval
![[0,3]](https://tex.z-dn.net/?f=%5B0%2C3%5D)
. So the velocity reaches 30 cm/s when
.
<span>h = -8t² + 40t
dh/dt = 0
⇒ d/dt(</span><span>-8t² + 40t) = 0
⇒ -16t + 40 = 0
⇒ 16t = 40
⇒ t = 40/16 = 2.5s
So it takes 2.5 seconds to reach highest point
h = -8×2.5² + 40×2.5 = -50 + 100 = 50
Ordered pair: (h,t) = (50,2.5)
</span>
there are 16 ounces in a pound so 16x7=112 +2= 114
8z = 64
divide both sides with 8
8z ÷8 = 64÷8
therefore,
z = 8.
Answer:
441 seats are being used :]
Step-by-step explanation:
