A roller coaster car moves 200 ft horizontally and then rises 135 ft at an angle of 30° bove the horizontal. It then travels 135 ft at an angle of 40° downward. What is its displacement from its starting point? Use graphical techniques. (Do this on paper. Your instructor may ask you to turn in this work.)

To travel at constant speed, a car engine provides 24kw of useful power. the driving force on the car is 600n. at what speed does it travel?

In the first law of thermodynamics, triangle e=q-w, what does q stand for

Suppose that a mass of 2 kg is attached a spring whose spring constant is 50. the system is damped such that b = 12 . the mass is set in motion with an initial velocity of -8 m/s at a position 0 meters from equilibrium. set up and solve a differential equation that models this motion. write your solution in the form a cos ( ω t − α ) where α is a positive number. use your solution to fill in the information below: what is the amplitude of the motion? what is the value of ω ? what is the phase shift?