Answer:
pi4
Step-by-step explanation: Formula is piD, diamter is 4, so pi4 which equals 12.56
<span>let:
X = the distance of the bottom of the ladder from the wall at any time
dX/dt = rate of travel of the bottom of the ladder = 1.1 ft/sec
A = the angle of the ladder with the ground at anytime
dA/dt = rate of change of the angle in radians per second
X = 10 cos A
dX/dt= -10 sin A dA/dt = 1.1
dA/dt = -1.1/(10 sinA)
When X = 6; cosA = 6/10; sinA = 8/10
Therefore:
dA/dt = -1.1/(10 x 0.8) = -0.1375 radiant per second. </span>
Answer: The equation would be W = 500 + 30T
Step-by-step explanation: The variables given are, W which represents the amount of water, and T which represents the time in minutes that water has been added. Already there is 500 liters in the water tank to start with, that means as you begin to add water, its simply an addition to the already existing 500 liters, (that is + 500).
Also you are told that you can add water at a rate of 30 liters per minute, that is you have one T for every 30 (or simply put 30T).
Therefore the equation that correctly relates W to T is shown as;
W = 30T + 500
With this, your table of values would now be shown as;
x = 1, y =530
x= 2, y = 560
x = 3, y = 590
x = 4, y = 620
x = 5, y= 650
Then your graph is as shown in the image attached.
For this case we have the following kinematic equation that models the problem:
h (t) = (1/2) * (- 9.8) * t ^ 2 + 12 * t + 2
Rewriting we have:
h (t) = -4.9 * t ^ 2 + 12 * t + 2
When the ball hits the ground we have:
-4.9 * t ^ 2 + 12 * t + 2 = 0
Solving the polynomial we have:
t1 = -0.16
t2 = 2.61
We ignore the negative root because it is time.
Answer:
It will take the ball to hit the ground about:
t = 2.61 sec