Acceleration on an Incline: Solving for Time and Distance

In summary, an object is released from rest at the top of an inclined plane and after a time t, it has moved a distance d down the incline. The question is asking for the acceleration, with the given equations only using time and distance. The attempt at a solution involves using the equation 0=h+1/2ayt^2 and rewriting it in terms of distance d.
  • #1
chelseaalyssa
13
0

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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  • #2
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.
 
  • #3
ok thanks!
 

1. How does the angle of an incline affect acceleration?

The angle of an incline does not affect acceleration. Acceleration down an incline is solely determined by the force of gravity and the mass of the object.

2. What is the formula for calculating acceleration down an incline?

The formula for calculating acceleration down an incline is a = g * sin(theta), where a is the acceleration, g is the acceleration due to gravity (9.8 m/s^2), and theta is the angle of the incline.

3. Can an object have negative acceleration down an incline?

Yes, an object can have negative acceleration down an incline if it is moving in the opposite direction of the incline's slope. This is known as deceleration or slowing down.

4. How does friction affect acceleration down an incline?

Friction can act in the opposite direction of an object's motion down an incline, slowing its acceleration. The amount of friction depends on the coefficient of friction between the object and the incline surface.

5. Is the acceleration down an incline always constant?

No, the acceleration down an incline can vary if there are external forces acting on the object, such as friction or air resistance. However, in ideal conditions with no external forces, the acceleration will be constant.

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