How to Find a Skateboarder's Speed Down an Inclined Ramp?

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SUMMARY

The discussion focuses on calculating the final speed of a skateboarder descending a 6.0m inclined ramp at an angle of 18 degrees, starting with an initial speed of 2.6 m/s. The relevant equation used is the kinematic equation v_f² = v_o² + 2ax, where acceleration (a) can be derived from the ramp's angle. The conservation of energy principle is also suggested as a method to solve the problem by determining the height of the ramp.

PREREQUISITES
  • Understanding of kinematic equations, specifically v_f² = v_o² + 2ax
  • Basic knowledge of trigonometry to calculate the height from the ramp's angle
  • Familiarity with the conservation of energy principle in physics
  • Ability to perform calculations involving acceleration and speed
NEXT STEPS
  • Learn how to calculate the height of an inclined plane using trigonometric functions
  • Study the conservation of energy in mechanical systems
  • Explore kinematic equations in-depth, focusing on their applications in real-world scenarios
  • Practice similar physics problems involving inclined planes and motion
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Students studying physics, particularly those focusing on mechanics and motion, as well as educators looking for practical examples of kinematic equations and energy conservation principles.

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Newt's 2nd Law--Non-Equilibrium

Homework Statement


A student is skateboarding down a ramp that is 6.0m long and inclined at 18 degrees with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 2.6 m/s. Neglect friction and find the speed at the bottom of the ramp.

\DeltaX = 6 meters
\theta= 18 degrees
v_{}o= 2.6 m/s
v_{}f= ?

Homework Equations


v_{}f2= v_{}o2 + 2ax


The Attempt at a Solution


v(f)2= 6.76+ 12a


I have no idea what I'm doing. Could I get a push in the right direction? Thanks.
 
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For this problem I'd use the conservation of energy law. You just have to find the height of the ramp and you can write down the equation.
 

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