A cylindrical tank has a tight-fitting piston that allows the volume of the tank to be changed. The tank originally contains 0.1
1 answer:
You might be interested in
Answer:
<u>6.87 ft/s</u> is the rate at which the top of ladder slides down.
Explanation:
Given:
Length of the ladder is,
Let the top of ladder be at height of 'h' and the bottom of the ladder be at a distance of 'b' from the wall.
Now, from triangle ABC,
AB² + BC² = AC²
Differentiating the above equation with respect to time, 't'. This gives,
In the above equation the term is the rate at which top of ladder slides down and
is the rate at which bottom of ladder slides away.
Now, as per question,
Plug in in equation (1) and solve for
. This gives,
Now, plug in all the given values in equation (2) and solve for
Therefore, the rate at which the top of ladder slide down is 6.87 ft/s. The negative sign implies that the height is reducing with time which is true because it is sliding down.
