1. A daredevil plans to jump over 25 cars. If the cars are all compact cars with a width of 5 feet and the ramp is 30 degrees, determine the initial velocity required to jump it successfully. (By integration)
2.A water tower is spherical in shape with radius 50ft, extending from 200ft to 300ft above ground. Compute the work done in filling the tank from the ground. (Help with setting up the integral, what are the bounds?)
3.A water tank is in the shape of a right circular cone of altitude 10ft and base radius 5ft, with its vertex at the ground.(think of an ice cream cone with its point facing down). If the tank is full, find the work done in pumping all the water out the top of the tank.
Any help is appreciated!