Skateboarding Physics: Min Speed, Optimal Ramp Angle & Displacement Vector

AI Thread Summary
The discussion focuses on the physics of skateboarding, specifically addressing the minimum speed required for a skateboarder to reach a ramp, the optimal ramp angle for a smooth landing, and the calculations for displacement, average velocity, and average acceleration vectors. The minimum speed was calculated to be 8.8 m/s based on the time of 0.45 seconds derived from the equation of motion. The optimal ramp angle is questioned in relation to the skateboarder's direction of motion, suggesting a need for further analysis on how the angle affects landing. The poster seeks guidance on how to approach the calculations for the ramp angle and the displacement vectors. The conversation emphasizes the application of physics principles to solve real-world skateboarding scenarios.
kevin948
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Homework Statement


(Please check the attached file)

a)What is the minimum speed he requires to make it to the ramp?
b)What would be the best ramp angle so that the skateboarder lands as smoothly as possible?
c)What is the skateboarder’s displacement vector, average velocity vector, and average acceleration vector, between the moment the he leaves the ledge to the moment he reaches the other side?



Homework Equations



△y =Vi,y △t + ½ ay△t²


The Attempt at a Solution



I solved question A

-1 = -4.9△t²

0.45s

4m/0.45s = 8.8m/s

but I don't know how to solve question B and C
 

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For B, how do you think the ramp angle should relate to his direction of motion? What is the skater's direction of motion?
 

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