Block sliding up an inclined plane

[Kevin Smith]

1. The problem statement, all variables, and given/known data

A block with an initial speed of 20.0m/s slides up a ramp with an incline angle of 30º.

(a) (2 points) Write the position as a function of time for motion up the surface of the ramp.
(b) (2 points) Write the velocity as a function of time for motion up the surface of the ramp.
(c) (2 points) How long does it take the block to come to a stop?
(d) (2 points) How far up the ramp does it travel before coming to a stop?

Homework Equations

[/B]
Vf2 = Vi2+ 2a*d
a = Δv/t
D = 1/2at2
FH = FG * sin(α)
FGN = FG * cos(α)

The Attempt at a Solution

[/B]
My setup of the problem: http://prntscr.com/gf7262

For part (a), is the "position as a function of time" being rooted from the equation Velocity=DeltaX/Time? If so, should i be looking at DeltaX=Velocity * Time?

As for the distance portion, if I use the 1st equation and plug in -9.81m/s^2 as the acceleration, shouldn't i be able to solve?

I honestly tried. I think i bombarded my self with many useless youtube videos that make my confusion all that much more.
Anyhow, any comments/suggestion would be greatly appreciated. Thank you in advance and good day. Cheers!:)

 

[kuruman]

For part (a), is the "position as a function of time" being rooted from the equation Velocity=DeltaX/Time? If so, should i be looking at DeltaX=Velocity * Time?

That's not a good start. Stop and think. Answer the following questions
1. In what direction is the acceleration?
2. What is the force on the block in that direction?

Once you answer these two, consider that the acceleration is force divided by mass in that direction.

 

[haruspex]

Velocity=DeltaX/Time?

The correct form of that equation is: average velocity = displacement / elapsed time.
But average velocity is not interesting here.