The variable <span><span>xx</span>x</span><span> is often used to represent the horizontal position. The variable y</span> is often used to represent the vertical <span>The airplane passenger’s initial position is </span><span><span>x_0=6.0\text{ m}<span><span>x<span><span>0</span><span></span></span></span>=6.0<span> m</span></span></span>x, start subscript, 0, end subscript, equals, 6, point, 0, space, m</span><span> and his final position is </span><span><span>x_f=2.0\text{ m}<span><span>x<span><span>f</span><span></span></span></span>=2.0<span> m</span></span></span>x, start subscript, f, end subscript, equals, 2, point, 0, space, m</span>, so his displacement can be found as follows,<span>Δx=<span>xf</span>−<span>x0</span>=2.0 m−6.0 m=−4.0 m</span><span>. His displacement is negative because his motion is toward the rear of the plane, or in the negative x direction in our coordinate system.</span>position.
Given that the airplane starts from the rest (this is initial velocity equals to zero) and accelerates at a constant rate, position can be described like this: where x is the position, t is the time a is the acceleration and is initial velocity. In this way acceleration can be found. .
Now we are able to found velocity at any time with the formula:
