Answer:
Yes, in long jump, it matters how
high one jumps. It is explained below.
For initial velocity
u and angle of projection\[\theta \], the maximum height,
\[h=\frac{{{u}^{2}}{{\sin
}^{2}}\theta }{2g}\]or\[\frac{{{u}^{2}}}{g}=\frac{2h}{{{\sin }^{2}}\theta }\]
and, horizontal
range, \[R=\frac{{{u}^{2}}}{g}\sin 2\theta =\frac{2h}{{{\sin }^{2}}\theta
}2\sin \theta \cos \theta =4h\cot \theta \]
Thus the span of
jump depends upon (i) height h attained (ii) angle of projection, \[\theta \].
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