1. The problem statement, all variables and given/known data A block at t=0 is at the bottom of the plane and is projected up an inclined plane with initial speed v0. The plane's acute angle is θ above the horizontal, and the coefficient of friction is μ between the block and plane. Find the time (t) and velocity (v1) of the block when it reaches a given distance d. 2. Relevant equations 1. F=ma 2. d=(1/2)at^2 + v0t + d0 3. v1=at+v0 3. The attempt at a solution I drew a picture electronically: I made the direction FN and v0 positive. #1 x dir F = ma F = -FμN - mgsinθ ma = -μmgcosθ - mgsinθ a = g(-μcosθ - sinθ) So I found my a (should be a negative value), and now I want to find t when the block reaches d. #2 d = (1/2)(-at^2) +v0t +d0 0 = (1/2)(-at^2) +v0t + 0 - d Problem: Acceleration and distance are negative so the roots are imaginary, but I need to find real roots of t and then plug it in v1=at+v0 (I think).