Calculus question: The town of Oceanside lies at sea level and the town of Seaview is at an altitude of 84m, at the end of a straight, smooth road that is 2.5km long. Following an automobile accident, a tow truck is pulling a car up the road using a force, in newtons, defined by the vector F=[30 000, 18 000] a) Find the force drawing the car up the hill and the force, perpendicular to the hill, tending to lift it. b) What is the work done by the tow truck in pulling the car up the hill? c) What is the work done in raising the altitude of the car?

Question

Calculus question: The town of Oceanside lies at sea level and the town of Seaview is at an altitude of 84m, at the end of a straight, smooth road that is 2.5km long. Following an automobile accident, a tow truck is pulling a car up the road using a force, in newtons, defined by the vector F=[30 000, 18 000]  a) Find the force drawing the car up the hill and the force, perpendicular to the hill, tending to lift it.  b) What is the work done by the tow truck in pulling the car up the hill? c) What is the work done in raising the altitude of the car?