Calculating Projectile Speed for Takeoff & Landing Ramps

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SUMMARY

The discussion focuses on calculating the minimum speed required to clear the gap between a takeoff ramp and a landing ramp, given their angles, heights, and the distance between them. Participants suggest using kinematic equations to derive the necessary formula, emphasizing the importance of considering the height difference between the ramps. The problem is likened to a projectile motion scenario, similar to a cannon problem, where the trajectory and distance are critical factors in determining the speed.

PREREQUISITES
  • Kinematic equations of motion
  • Basic principles of projectile motion
  • Trigonometry for angle calculations
  • Understanding of height and distance relationships in physics
NEXT STEPS
  • Study the derivation of projectile motion equations
  • Learn how to apply kinematic equations to real-world problems
  • Explore the effects of angle and height on projectile trajectories
  • Practice solving projectile motion problems with varying parameters
USEFUL FOR

Students in physics courses, educators teaching projectile motion, and anyone interested in understanding the dynamics of ramps and projectile trajectories.

Applesauce2
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Hi, I've been trying to figure this out for a few hours...can't seem to get it. Any help is greatly appreciated :smile:

Homework Statement



I have two ramps (a takeoff and a landing ramp). I know the angle and height of both. I also know the distance in between the ramps. I am trying to find the minimum speed required to clear the gap.

I'm just trying to find a formula so I don't have specific numbers.


Homework Equations



the kinematic equations?


The Attempt at a Solution


I've been trying to use the kinematic equations to solve this. I don't really have anything to show my work. I'm pretty stumped. I've just kind of been trying random stuff hoping some unknown variable will cancel out or something :smile:


Thanks in advance for any help :smile:
 
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Well, you know the initial trajectory (based on the launch-ramp angle), and you know the distance it has to travel... just like a cannon problem, you can solve.
(Don't forget to take into account any difference in height between the two ramps)
 
Hey, I've been really busy so I haven't had much time to work on this. Could I possibly get another hint :-p. I can't seem to figure it out.
 

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