How Far and How Long for a Block on a 22 Degree Incline?

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SUMMARY

The discussion focuses on solving a kinematics problem involving a block moving up a 22-degree incline with an initial speed of 3.0 m/s and an acceleration of -3.67 m/s². To determine how far the block travels up the incline, the kinematic equation \(d = v_i t + \frac{1}{2} a t^2\) can be utilized. For calculating the time until the block returns to its starting point, the equation \(v_f = v_i + at\) is applicable, where \(v_f\) is zero at the peak of the incline. These equations provide a clear path to solving both parts of the problem.

PREREQUISITES
  • Understanding of basic kinematics equations
  • Knowledge of acceleration and its effects on motion
  • Familiarity with trigonometric functions related to angles
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the kinematic equations in detail, focusing on their applications in one-dimensional motion
  • Learn how to resolve forces on inclined planes using trigonometry
  • Practice problems involving acceleration and initial velocity to reinforce concepts
  • Explore the concept of projectile motion and its relation to kinematics
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in mastering kinematics and motion analysis on inclined planes.

katana
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I need help with this problem:
A block is given an initial speed of 3.0 m/s up a 22.0 degrees plane. (A) How far up the plane wll it go? (B) How much time elapses before it returns to its starting point?

I know the acceleration is -3.67 m/s^2, but I have no idea how to continue on. I don't know what equation to use to figure out (A). Please help!
 
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You just have to realize you have a regular kinematics question in 1D now. You know the initial speed and you know the acceleration. That should be enough to find the distance and time.
 

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