I came across this one problem that asked for speed and velocity and I was wondering what the speed is suppose to be. I read somewhere that its the magnitude to velocity. So I want to see if I am doing this right. A ball is launched off the top of a building. The initial velocity of the ball is v₀ = (v₀,0) and the initial height is H. What is the velocity and speed at the moment it hits the ground in terms of v₀,H and g? y = v₀yt + 1/2at2 y = 0 + 1/2at2 t = √(2h/g) vx = v₀ vy = voy + at vy = 0 + at vy = g√(2h/g) |v| = √((g√(2h/g)2 + v₀2) θ = tan-1(g√(2h/g/v₀)) v = √(g√(2h/g)2 + v₀2)m/s tan-1(g√(g√(2h/g)/v₀) positive below x axis. So the question is the speed suppose to be sqrt(g√(2h/g)2 + v₀2)m/s??