Distance to a hot-air balloon A hot-air balloon is released at 1:00 P.M. and rises vertica...

Distance to a hot-air balloon A hot-air balloon is released at 1:00 P.M. and rises vertically at a rate of 2 m/sec. An observation point is situated 100 meters from a point on the ground directly below the balloon (see the figure). If t denotes the time (in seconds) after 1:00 P.M., express the distance d between the balloon and the observation point as a function of t.

EXERCISE