Best Answer: Time of flight t = 2vy/g Distance = vx*t = 2vx*vy/g We must maximize vx*vy as a function of launch velocity v. vx = vcosÎ¸, vy=vsinÎ¸ Thus we must maximize sinÎ¸cosÎ¸. At the maximum, the derivative of sinÎ¸cosÎ¸ = 0. From the ref, the derivative = cos(2Î¸).Thus cos(2Î¸) = 0, 2Î¸ = 90 deg, Î¸ = 45 deg.'d put optimal at a lower angle, say 20 to 30 degrees, to keep most of the air time while reducing the energy lost at landing and improving the horizontal speed component for the post-landing roll.
Cheney Elementary 2000 N. Forsyth Rd.Orlando, FL 32807Phone: 407-672-3120 || Fax: 407-672-3126. Principal-Tracey Gibson. Assistant Principal-Luz HaleSchool Hours8:45 - 3:008:45 - 2:00 (Wed.)Office Hours:7:30 - 4:00. Email:cheney_es@ocps.net. Save the Date...
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