a. The point at which the roller coaster cart is the fastest. b. The point at which the roller coaster cart is the slowest. c. The point at which the roller coaster cart has the lowest gravitational potential energy. d. At least two points where the roller coaster cart has identical kinetic energies. d) Is there a position of lowest mechanical energy for the roller coaster? Why/why not? e) The roller coaster arrives at the finish with a speed of 10 metres per second, where it is slowed to a stop by friction braking along a runway. If the maximum allowable acceleration for the rollercoaster is 2 ms-2, determine the minimum length of runway needed using: a. Newton's kinematic equations; b. Work and Energy Methods (W = FAr cos 0). hint: you may think you need to know 'm', but it is not necessary! However, if you want, you can assume the mass of the cart is 1000 kg