Question

An extremely daring stunt mountain bike rider performs the following stunt: he starts from rest at point A on the let end of a 20 m tall hill, pedals furiously down an incline, inclined at 30° to the horizontal, to launch himself as a projectile from the right edge B of the incline. The distance AB is 15 m. He crosses an icy fjord 10 m in width, and lands on the corner of a horizontal patch, at C. He starts applying brakes immediately and screeches to a halt just before a bubbly lake of lava, D, which is a distance of 10 m from C. Determine his constant accelerations on the indline and on the horizontal patch,if he should succeedin this stunt. Aliso determine the total time this stunt would take, from A to D. (it is important to determine this time because a cheerleading team is planning a dance routine to last exactly the duration of his stunt.) Note: Assume that upon landing at C, the bicycle's shocks are able to convert the crash velocity entirely without loss into forward velocity. Hint: Study the projectile phase first, and find out everything you can from it. Only then solve the one dimensional motion on either side of the projectile motion.

Please don't skip steps if possible. Thank you!

Answer 1