Directions Questions 1 4 and 5 are short free response

Last updated: 4/25/2023

Directions Questions 1 4 and 5 are short free response questions that require about 13 minutes each to answer and are worth 7 points cach Questions 2 and 3 are long free response questions that require about 25 minutes each to answer and are worth 12 points cach Show your work for each part in the space provided after that part Ho Note Figure not drawn to scale 1 7 points suggested time 13 minutes A stunt cyclist builds a ramp that will allow the cyclist to coast down the ramp and jump over several parked cars as shown above To test the ramp the cyclist starts from rest at the top of the ramp then leaves the ramp jumps over six cars and lands on a second ramp He is the vertical distance between the top of the first ramp and the launch point eg is the angle of the ramp at the launch point from the horizontal Xo is the horizontal distance traveled while the cyclist and bicycle are in the air ma is the combined mass of the stunt cyclist and bicycle a Derive an expression for the distance X in terms of Ho o mo and physical constants as appropriate