Constant acceleration formulae A particle P moves along the x-axis with constant acceleration a in the positive x-direction. Initially P is at the origin and is moving with velocity u in the positive x-direction. Show that the velocity v and displacement x of P at time t are given by∗
v = u + at,
x = ut + (1/2)at2
and deduce that
v2 = u2 + 2ax.
In a standing quarter mile test, the Suzuki Bandit 1200 motorcycle covered the quarter mile (from rest) in 11.4 seconds and crossed the finish line doing 116 miles per hour. Are these figures consistent with the assumption of constant acceleration?