Calculating velocity on an inclined plane

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SUMMARY

The discussion focuses on calculating the velocity of an object rolling down an inclined plane with a constant acceleration of 2 m/s². The object starts from rest, achieving a velocity of 2 m/s after 1 second, while covering a distance of 1 meter. The kinematic equation v² = v₁² + 2aD is applied to confirm that the displacement D equals 1 meter when the acceleration is 2 m/s² and initial velocity is zero. The relationship between velocity and acceleration is clarified, emphasizing that initial velocity does not equal acceleration.

PREREQUISITES
  • Understanding of kinematic equations, specifically the equation v² = v₁² + 2aD
  • Basic knowledge of constant acceleration concepts in physics
  • Familiarity with the relationship between velocity, acceleration, and displacement
  • Ability to perform calculations involving units of meters and seconds
NEXT STEPS
  • Study the five kinematic equations for motion under constant acceleration
  • Learn about the principles of motion on inclined planes in physics
  • Explore the concept of initial velocity and its impact on displacement
  • Investigate real-world applications of constant acceleration in engineering
USEFUL FOR

Students of physics, educators teaching mechanics, and anyone interested in understanding motion dynamics on inclined planes.

Bashyboy
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So, this particular plane is angled so that a certain object will roll at a constant acceleration of 2 m/s each second. The object's initial velocity will be zero and in one second its velocity will be 2 m/s, but will only have traveled 1 m during that duration between zero and one seconds. Is this true because the object does not travel, initially, 2 m/s?
 
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well aceleration is m/s^2 not m/s and you should use the 5 kinematic or constant acceleration equations
ie v2^2 = v1^2 +2aD
2^2 = 0 + 2(2)(D)
D=1
So the certain object will reach a speed of 2m/s with a accelertaion of 2m/s^2 in 1 meter.
And yes it is because the object is initially at rest
 
Last edited:
velocity ≠ acceleration. For constant uniform acceleration a in one dimension, with zero initial velocity, the displacement s is:

s = at2/2
 

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