Complete Question
When jumping, a flea accelerates at an astounding 1500 m/s2 , but over only the very short distance of 0.47 mm .If a flea jumps straight up, and if air resistance is neglected (a rather poor approximation in this situation), how high does the flea go?
We have that the flea goes as high as
[tex]h=0.072m[/tex]
From the Question we are told that
Acceleration =[tex]1500 m/s^2[/tex]
Distance [tex]d=0.47 mm[/tex]
Generally the equation for height is mathematically given as
[tex]h=\frac{u^2}{2g}[/tex]
Where
[tex]u^2=2*1500*0.47*10^{-3}\\\\u=1.41m/s[/tex]
Therefore
[tex]h=\frac{1.41^2}{2*9.8}[/tex]
[tex]h=0.072m[/tex]
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