Calculating Distance of Block Sliding Down Ramp

[Chrisleo13]

Homework Statement

A 1.79-kg block slides down a frictionless ramp, The top of the ramp is h1 = 1.54 m above the ground; the bottom of the ramp is h2 = 0.287 m above the ground. The block leaves the ramp moving horizontally, and lands a horizontal distance away. Calculate the distance.

Homework Equations

The Attempt at a Solution

I used mg(delta h)=1/2mv^2 to get velocity in the x direction
Then used y=1/2at^2 to find time, I had Viy = 0, g = 9.81 and y = .287

I can't find the distance traveled am I doing something wrong?

 

[LowlyPion]

Homework Statement

A 1.79-kg block slides down a frictionless ramp, The top of the ramp is h1 = 1.54 m above the ground; the bottom of the ramp is h2 = 0.287 m above the ground. The block leaves the ramp moving horizontally, and lands a horizontal distance away. Calculate the distance.

Homework Equations

The Attempt at a Solution

I used mg(delta h)=1/2mv^2 to get velocity in the x direction
Then used y=1/2at^2 to find time, I had Viy = 0, g = 9.81 and y = .287

I can't find the distance traveled am I doing something wrong?

Why not?

It looks like you are all over the method.

You have V² = 2gh₁

You have T² = 2h₂/g

T²*V² = X² = 4h₂*h₁

 

[Chrisleo13]

I did it your way as well, but still the wrong result. Ugh, can you work it out and see what you get I got, 1.33 m.

 

[LowlyPion]

I did it your way as well, but still the wrong result. Ugh, can you work it out and see what you get I got, 1.33 m.

Actually my h1 was the difference between 1.54 and the .287.

Sorry I didn't see the problem labeled those heights similarly.

 

[Chrisleo13]

Thanks, I got it.