# Vertical velocity, Horizontal velocity, and Actual (resultant) Velocity of takeoff

 Mentor P: 11,676 Vertical velocity, Horizontal velocity, and Actual (resultant) Velocity of takeoff If the vertical and horizontal components of the velocity are essentially equal, then the angle should be very close to 45 degrees. $tan^{-1}\left(\frac{v_y}{v_x}\right)$.
 P: 389 The time it takes to fall from a height 'h' under the influence of gravity is: $$T = \sqrt{\frac{2h}{g}}$$ Since the path you took as you flew was a parabola the time it took to reach your max height is equal to the time it took you to fall which is given by the formula above; from this you can calculate your max height and from this you can calculate the vertical part of your velocity. From the period you can also calculate the horizontal part of your initial velocity since you know time and displacement. The total velocity is the square root of the sum of the squares of the vertical and horizontal parts.