Using only the spring gun with the catcher removed, fire thesteel ball, making sure the launch velocity is horizontal. Usingcarbon paper (and something to catch the ball after impact with thefloor), determine the ball’s horizontal range and its totalvertical displacement (i.e., height at point of firing). Repeatseveral times in order to obtain statistical data.
Derive a formula in symbolic form for the initial velocityof the projectile in terms of the following three quantities only:the horizontal range (x), the vertical height at launch (y) and theacceleration due to gravity (g). Finally, determine theinitial velocity of the steel ball and refer to this velocity as v1.
Need help deriving the equation (italics). Please show allintermediate derivations too (i.e. how to come to horizontal range(x) = v1*t). Thank you!
