Question

A coin of mass m slides from one edge of a table to another by a single swift push (imparting it w/ an initial velocity)
The table is of lenght of L and has a coefficient of kinetic friction μk.

1.Draw a free body diagram for the coin as it is sliding across the table.
2. What must the initial velocity be in order to make the coin stop precisely balanced over the other edge?

Answer 1

1
2 \[x_1=x_0+v_0t+.5g(t^2)\]\[L=v_0t+1/2g(t^2)\]\[v_0=(L-.5g(t^2))/t\]

this is what I got.
I'm actually studying for an exam but is this suppose to be this easy or am I missing something big?