Question

Understanding Physical Science 14.5:

A. A 10​-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the pavement directly away from the building at 2 ​feet/second, how fast is the top of the ladder moving down when the foot of the ladder is 2 feet from the​ wall?

The top of the ladder is moving down at a rate of ___ ​feet/second when the foot of the ladder is 2 feet from the wall. ​(Round to the nearest thousandth as​ needed.)

B. A rock is thrown into a still pond. The circular ripples move outward from the point of impact of the rock so that the radius of the circle formed by a ripple increases at the rate of 2 feet per minute. Find the rate at which the area is changing at the instant the radius is 15 feet.

When the radius is 15 ​feet, the area is changing at approximately ___ square feet per minute.

C. An ice cube that is 10 cm on each side is melting at a rate of 4 cm^3 per minute. How fast is the length of the side​ decreasing?

At the moment when the ice cube is 10 cm on each​ side, the side length is decreasing at a rate of approximately ___ cm per minute.

Answer 1

L Lat length a laddes ofeet horizontal chitande toon tha. kane af build(nq 는2fet Io Neuo at ength laddar b horizonted distance = x nd hoight be h att 2.2.2 + 2.416- 0= 24.16) 0408 test per necend Thotop of tha loi ving at a rate egso fee necand 2 nd JA (15) ( 2) 657 2 F lwhon tha tadtu is Isfeet tha anea is changin at -Hooximately (128. 436 ARIare feet ber minute -4= 3C10) At tha. momont ushon tha ica cube is locm. on each pida ta ie bength is decreasing at a tate of abbruximately 0.0133 cm. ber minute. 300 0.0133 Cm.berminuta