Incline plane problem - acceleration, time, and velocity

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SUMMARY

The incline plane problem involves calculating the acceleration due to gravity both parallel and perpendicular to the incline. The correct formulas are parallel = 9.8sin(θ) and perpendicular = 9.8cos(θ). For a 20-degree incline, an object travels 2 meters down the incline in 1.09 seconds, resulting in a height of 0.684 meters above ground. It is established that the time taken to drop vertically is shorter than sliding down the incline, although both final velocities are equal.

PREREQUISITES
  • Understanding of basic trigonometry (sine and cosine functions)
  • Knowledge of kinematic equations in physics
  • Familiarity with the concept of acceleration due to gravity
  • Ability to perform calculations involving angles and distances
NEXT STEPS
  • Study the derivation of kinematic equations for inclined planes
  • Learn about the effects of friction on inclined plane motion
  • Explore the relationship between angle of incline and acceleration
  • Investigate the concept of free fall and its comparison to inclined motion
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Students in physics, educators teaching mechanics, and anyone interested in understanding motion on inclined planes.

Schnitzel
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Just need someone to check if this is right.

This question=frictionless, freefall, etc.

We have an incline plane. Determine the amount of acceleration due to gravity both parallel and perpendicular to the incline.
Would the answer be: parallel=9.8sinθ and perpendicular=9.8cosθ

Okay, let's say we have an inclined plane regardless of the angle, let's just make it 20 degree for instance.

The distance an object have to travel is 2m down the incline.


It would take the object 1.09 seconds to reach the bottom of the incline.

So based on this, the height above ground the object is currently at is sin20=h/2. h=.684 m.

1. The time it takes the object to drop vertically at the same height as the starting position of the object on the incline plane is comparably shorter than it would take the object to slide down the incline.

2. Both their final velocity are the same.

Make a predictive statement about the path of dependence of accelerations due to gravity.

Acceleration increases as the angle increase up to a maximum of 2 m/s^2 at 90°.
 
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It looks to me that every part is, in some important way, incorrect.
 

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