the time interval approaches zero )
Motion in a plane with constant acceleration
Motion in a plane ( two dimensions ) can be treated as two separate simultaneous one-dimensional motions with constant acceleration along two perpendicular directions . X and Y directions are hence independent of each other .
If v0 being the velocity at time 0 , the displacement can be written as : x = x0 + v0xt + ½ axt 2 and y = y0 + v0yt + ½ ayt 2
Motion of an object in a plane with constant acceleration
Velocity
Velocity in terms of components
Displacement v = v0 + at vx = v0x + axt
vy = v0y + ayt r = r0 + v0t + ½ at 2
Relative velocity in two dimensions
The concept of relative velocity in a plane is similar to the concept of relative velocity in a straight line .