Posted by MarkB_MI on November 23, 2014 at 02:05:45 from (70.194.12.162):
In Reply to: OT--Physics Question posted by Jiles on November 22, 2014 at 18:41:03:
Either you're not describing the question correctly, or their "correct" answer was wrong. Assuming "distance travelled" means the HORIZONTAL distance, then 45 degrees is correct.
But what if they meant actual distance of the projectile's trajectory? Assuming the cannonball stops when it hits the ground, zero degrees is wrong, leaving 45 and 90. If we ignore the effect of air resistance, the projectile's VERTICAL travel will be the same for both 45 and 90 degrees. That's because it goes up until its kinetic energy has been converted to potential energy, and potential energy is a function of elevation. If the cannonball goes straight up and straight down, that's a shorter "distance travelled" than a parabola of the same height. Factoring in air resistance is going to change that a bit, but since we don't have enough information to calculate air resistance we have to assume it doesn't significantly affect the outcome. So the answer is still 45 degrees.
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