Acceleration on an Incline: Solving for Time and Distance

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SUMMARY

The discussion focuses on calculating the acceleration of an object released from rest on an inclined plane using time and distance. The relevant equations include the kinematic equation \(y = y_0 + v_{y0}t + \frac{1}{2} a y t^2\) and the horizontal motion equation \(x = x_0 + v_0 t\). The solution approach involves substituting initial conditions into the equations, specifically setting \(y_0 = 0\) and \(y = d\), to express acceleration in terms of distance \(d\) and time \(t\).

PREREQUISITES
  • Understanding of kinematic equations
  • Basic knowledge of inclined plane physics
  • Familiarity with algebraic manipulation
  • Concept of acceleration as a function of time and distance
NEXT STEPS
  • Study the derivation of kinematic equations for inclined planes
  • Learn how to apply Newton's laws to motion on inclines
  • Explore the concept of gravitational acceleration on slopes
  • Investigate real-world applications of inclined plane physics
USEFUL FOR

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

chelseaalyssa
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Homework Statement


An object is released (from rest) at the top of an inclined plane. After time t, the object has moved a distance d down an incline. What is its acceleration


Homework Equations


There is some stuff written in regards to this question about using only time and distance to calculate the acceleration - so that leaves the equations:
y=y0+vy0t+1/2ayt2
x=x0+v0t

The Attempt at a Solution


Using the equation for y:
0=h + 1/2ayt2

thanks in advance for your help!
 
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chelseaalyssa said:

The Attempt at a Solution


Using the equation for y:
0=h + 1/2ayt2
Write it in terms of distance d. (I'd say that y0 = 0 and y = d.) Just call the acceleration a.
 
ok thanks!
 

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