An athle run with speed of 12m/s .Determine the longest jump he can take. Solve with complete explanation.
l=v2sin2αg,l=\frac{v^2 \sin 2\alpha}{g},l=gv2sin2α,
l=lmax if sin2α=1 (α=45°),l=l_{max}~\text {if }\sin2\alpha=1~(\alpha=45°),l=lmax if sin2α=1 (α=45°),
lmax=v2g=1229.8=14.7 ms.l_{max}=\frac{v^2}{g}=\frac{12^2}{9.8}=14.7~\frac ms.lmax=gv2=9.8122=14.7 sm.
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