I see that you are in high school, and I'm hoping that you've been introduced
to differential calculus, because I don't know how to answer this question without
using it.
We're told that Jason's height above the water is <em>H(t) = -16t² + 16t + 480 .</em>
We can observe many things from this equation:
-- Up is the positive direction; down is the negative direction.
-- The acceleration of gravity is 32 ft/sec² .
-- Jason jumps upward from the cliff, at 16 ft/sec .
-- The cliff is 480-ft above the water.
(This tells us why the question is only concerned with his maximum height,
and then it ends ... 480-ft is one serious cliff, and what happens after the
peak of his arc is too gruesome to contemplate.)
In any case, his vertical velocity is the first derivative, with respect to time,
of his height above the water.
V = -32 t + 16
At the peak of his arc, where gravity takes over, his velocity changes from
upward to downward, and it's momentarily zero.
0 = -32t + 16
Add 32t to each side: 32t = 16
Divide each side by 32: <em> t = 1/2 second</em>
His height at that instant is H(0.5) = -16(0.5)² + 16(0.5) + 480 =
<em>4-ft above the cliff, 484-ft above the water</em>,
and then he begins falling from that altitude.
The duration of his dive is 484 = 16 t²
t = √(484/16) = <em>5.5 seconds</em>
and he hits the water at V = a t = (32) x (5.5) = 176 ft/sec = <em>exactly 120 mph </em>
Jason was good man ... a good student, and always kind to everyone he met.
He will certainly be missed.
It would be 2.56
Hope this helped you!
Answer:
The 1st graph will be perfectly matching the conditions.
Step-by-step explanation:
A wholesaler requires a minimum of 4 items in each order from its retail customers.
The manager of one retail store is considering ordering a certain number of sofas, x and a certain number of pillows that come in pairs, y.
Therefore, for y = 0, x ≥ 4 and for x = 0, y ≥ 2 to make the order of 4 items or more.
Therefore, the equation for the order to be of 4 items will be
x + 2y = 4.
So, the 1st graph will be perfectly matching the conditions. (Answer)
Answer:
-5/2+-2
Step-by-step explanation:
Answer:
Plane A will be farther because it is flying at a lower angle so it will be able to cover more ground by flying slightly more forwards than going more upwards like plane B
