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Gbox
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Homework Statement
A kid is throwing a ball to the celling, when will be the best time to throw the ball so the ball will reach the highest height , right after his feet leave the ground or at the peak height of his jump? provide a geometric explanation too (do not uses forces)
Homework Equations
[itex]x=x_0+vt+\frac{at^2}{2}[/itex]
The Attempt at a Solution
Jump and throw immediately: [itex]x=x_0+(v_{throw}+v_{jump})t-\frac{gt^2}{2}[/itex]
Jump and throw in mid air: [itex]x=x_0+v_{jump}t-\frac{gt^2}{2}+v_{throw}t-\frac{gt^2}{2}[/itex]
therefore the "Jump and throw immediately" will provide a higher result, as the deceleration is just once.
As for the geometric explanation I can not find one that does not use mass maybe "Jump and throw" is one parabola and "Jump and throw in mid air" is a half parabola+ another parabola?
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