Q#1: From a point of O, two cars leave at the same time. One car travels west and after ‘t’ sec, its position is x=t2+t ft. the other car travels north and it covers y= t2+3t ft in ‘t’ sec. At what rate is the distance between the two cars changing after 5 sec?
Question#2: Sand falls from a container at the rate of 10 ft3/min and forms a conical pile whose height is always double the radius of the base. How fast is the height increasing when the pile is 5 ft high?