Need to find distance of an object over an incline plane

[snailpoop]

Homework Statement

an object is traveling 30 m/s up a 30 degree incline with height of 20, (there is zero friction) how far did it go?

Homework Equations

no idea

The Attempt at a Solution

stuck

 

[Hypersphere]

Since there is no friction, think of why the object would come to a stop.

 

[snailpoop]

because of acceleration due to gravity

 

[Hypersphere]

because of acceleration due to gravity

Indeed. So, at which height y (measured vertically, not up the incline) does it stop rising?

 

[Nickie]

I would suggest using the formula for calculating the distance traveled over an inclined plane, which is d = h/sinθ, where d is the distance traveled, h is the height of the incline, and θ is the angle of the incline. In this case, the distance traveled would be d = 20/sin30 = 40 m. However, it is important to note that this formula assumes no friction, so the actual distance traveled may be slightly less due to the presence of friction. It may also be helpful to use the formula for calculating the velocity of an object traveling up an incline, which is v = ucosθ, where v is the final velocity, u is the initial velocity, and θ is the angle of the incline. In this case, the final velocity would be v = 30cos30 = 25.98 m/s. These equations can help to determine the distance traveled by the object over the incline plane.