Problem 4 Purdue Rachel wants to be a famous YouTuber, but after her makeup videos only gained her five new subscribers, her new idea is a Couch Cart powered by four gas-powered leaf blowers. Some details about her design: Leaf Blowers TroyBuilt TB 400 Leaf Blowers (4) (ves, she only uses the best) (yes, I make them myself) Air flow: max. velocity: 180 mph Nozzle diameter: 3\" Total cart weight 150 1b (Rachel + her phone) 4 x 13 Ibs (leaf blowers) 120 1bs (couch + wheels) Wheels Rolling resistance coefficient, = 0.011 Friction force = y * Normal force Wind resistance (drag!) Fy=0C4 G pairVaZirA) Total drag force from the wind C4 1s the drag coefficient for a couch cart, which has never before been measured, but we'll take it as 00.5. Here Vy;, is the air speed relative to the moving couch (ft/s) A is the area \"seen by the flow\" (assume 6ft x 3 ft) 4.1 Determine the initial acceleration of Rachel and the cart on a level road, if she starts from rest. How many g's is this? If she got rid of the wheels and turned it into a hovercraft, would this change by much? Free body diagram 4.2 Determine the terminal speed of Rachel and her cart on a level road. Draw a FBD for when she is at terminal velocity, drawing the force vectors roughly to scale. If she had built a hovercraft instead, would this change her terminal speed by much? Free body diagram 4.3 Determine the time it takes Rachel to reach terminal velocity, and graph her velocity vs. time. 40of 4