Minimum Speed for Daredevil to Jump 11m Canyon on 15 Degree Incline

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SUMMARY

The minimum speed required for a daredevil to successfully jump an 11-meter canyon from a 15-degree incline can be calculated using the principles of projectile motion. The equations of motion, specifically Vf^2 = 2a(delta d) + Vi^2 and Vf = at + Vi, are essential for determining the initial velocity needed to clear the distance. By analyzing the jump as a two-dimensional motion problem, one can derive the necessary initial velocity based on the distance and gravitational acceleration of 9.81 m/s². This approach ensures accurate calculations for the jump trajectory.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with kinematic equations
  • Basic knowledge of trigonometry for incline calculations
  • Concept of two-dimensional motion analysis
NEXT STEPS
  • Study the derivation of projectile motion equations
  • Learn how to apply kinematic equations in two dimensions
  • Explore the effects of incline angles on projectile trajectories
  • Investigate real-world applications of physics in stunt planning
USEFUL FOR

Physics students, stunt coordinators, engineers, and anyone interested in the mechanics of jumps and projectile motion will benefit from this discussion.

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A daredevil jumps a canyon 11 m wide. To do so, he drives a car up a 15 degree incline.
Acceleration of gravity = 9.81 m/s^2
What minimum speed must he achieve to clear the canyon in m/s?

Homework Equations



Vf^2 = 2a(delta d) + Vi^2

Vf = at + Vi
 
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missashley said:
A daredevil jumps a canyon 11 m wide. To do so, he drives a car up a 15 degree incline.
Acceleration of gravity = 9.81 m/s^2
What minimum speed must he achieve to clear the canyon in m/s?

Homework Equations



Vf^2 = 2a(delta d) + Vi^2

Vf = at + Vi

You are going to need a bit more than this to solve the problem: if there is jumping or throwing involved, you are usually going to need to look at the motion in two dimensions. What do you need to set this problem up? How do you describe where this person starts, where they're supposed to try to land, and how they traveled in between?
 
Heres an idea: assume you know the velocity he took off. Now find out how far he traveled. Create an equation for it to only be in terms of his initial velocity, distance traveled and other constants. Then work backwards from here and find his velocity knowing how far he has to travel.
 

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