Answer:
Explanation:
<u>Rate of Change</u>
The volume of a cone of radius r and height h is given by
The height is said to be 1/2 of the radius, thus
a) Knowing r=18 feet, the volume is
b) The rate of change of the volume is computed by taking the derivative of both sides respect to the time
Where r' is the given rate of change of the radius: 2 feet/day.
Now we compute
Answer:
Time = 1.75[s]; Distance traveled = 21.5 [m]; Max height = 15 [m]
Explanation:
First, we have to break down the velocity vector into the X & y components.
To find the time t that lasts the ball of cannon in the air we must use the following equation of kinematics, in this equation the value of y is equal to zero because it will be proposed that the ball lands at the same level that was fired.
In order to find the distance traveled horizontally from the cannonball, we must use the speed kinematics equation in the X coordinate.
In order to find the last value, we must bear in mind that when the cannonball reaches the maximum height, the velocity in the component y is equal to zero, and we can find the value of and with the following kinematic equation
