Altitude of a balloon A hot-air balloon rises vertically from ground level as a rope attac...

Altitude of a balloon A hot-air balloon rises vertically from ground level as a rope attached to the base of the balloon is released at the rate of 5 ft/sec (see the figure). The pulley that releases the rope is 20 feet from a platform where passengers board the balloon. Express the altitude h of the balloon as a function of time t.

EXERCISE