Helped needed with projectile motion given only angle and x/y distance

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SUMMARY

The discussion centers on calculating the required speed for a motorcycle jump across a river, given an incline of 53.0 degrees, a river width of 40.0 m, and a height difference of 15.0 m. The physics professor seeks to determine the initial speed needed at the ramp's top to reach the opposite bank and the landing point if the speed is halved. The problem emphasizes the application of projectile motion equations, specifically focusing on horizontal and vertical components of motion without air resistance.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with trigonometric functions and their applications in physics
  • Knowledge of kinematic equations for motion in two dimensions
  • Ability to perform vector decomposition of forces and velocities
NEXT STEPS
  • Study the equations of motion for projectile motion in physics
  • Learn how to apply trigonometric functions to resolve forces and distances
  • Explore the concept of initial velocity and its impact on projectile trajectories
  • Investigate the effects of varying launch angles on projectile distance
USEFUL FOR

Physics students, educators, and anyone interested in understanding the mechanics of projectile motion and its real-world applications in stunts and sports.

TheLunchGun
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1. A physics professor did daredevil stunts in his spare time. His last stunt was an attempt to jump across a river on a motorcycle. The takeoff ramp was inclined at 53.0 degrees, the river was 40.0 m wide, and the far bank was 15.0 m lower than the top of the ramp. The river itself was 100 m below the ramp. You can ignore air resistance.

a. What should his speed have been at the top of the ramp for him to have just made it to the edge of the far bank?

b. If his speed was only half the value found in (a), where did he land?


This problem has been a thorn in my side for many an hour. Some help would be great if anyone has some time.
 
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What work have you done so far? Where are you getting stuck?
 
I've tried a number of different angles on it but nothing seems to go anywhere. I actually already have the answers, but I want to know the method of solving it. I can post them if needed.
 

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