Calculating Projectile Speed for Takeoff & Landing Ramps

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To calculate the minimum speed required to clear the gap between a takeoff and landing ramp, one must consider the angles and heights of both ramps along with the distance between them. The kinematic equations are applicable for this problem, resembling a projectile motion scenario. It's crucial to account for the height difference between the ramps when determining the trajectory. A suggestion is to treat the situation like a cannon problem, using the known launch angle and distance to derive the necessary speed. Further guidance may be needed to clarify the application of these principles.
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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