How can I calculate initial velocity, acceleration and time using just distance and final velocity?
You don’t have enough information to get all three. For example, let the initial velocity be v0, arbitrarily. If so, then v0*t = 2d, and -v0^2 = 2*a*d. Using algebra, t = 2d/v0 and a = -v0^2/(2d). Now if we substitute into the final equation, v0 + at = 0, we get v0 – (2d/v0)*(v0^2/(2d)) = v0 – v0 = 0. This can always be satisified, no matter what the initial velocity is. Look at it this way. If the bike was going at 20mph and stopped in 50 ft, then it slowed down at a certain speed. If the bike was going 60mph (hypothetically) and stopped in 50ft, it just slowed down a lot faster.
