Finding final velocity for Conservation of Energy Problem

[senpim]

Homework Statement

Problem statement and diagram in the photo

Homework Equations

K = 1/2 mv^2
U = mgh

The Attempt at a Solution

E_0 = E1
K_0 + U_0 = K_1 + U_1

using relevant equations and solving for v1 I get:
v_1 = sqrt((v_0)^2 + 2gh_1)

Then E_1 = E_2

solving for the final velocity and the top of the 2nd hill v_2:

v_2 = 1.4 m/s

There is no answer in the back of the book for this problem, just checking to see if my answer is correct, Thanks!

 

[Herman Trivilino]

Yes.