Question

Mayan kings and many school sports teams are named for the puma, cougar, or mountain lion Felis concolor, the best jumper among animals. It can jump to a height of 10.5 ft when leaving the ground at an angle of 52.3^\circ. With what speed, in SIunits, does it leave the ground to make this leap?

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asked 2020-11-08
Mayan kings and many school sports teams are named for the puma, cougar, or mountain lion Felis concolor, the best jumper among animals. It can jump to a height of 10.5 ft when leaving the ground at an angle of \(\displaystyle{52.3}^{\circ}\). With what speed, in SIunits, does it leave the ground to make this leap?

Answers (1)

2020-11-09
First convert Ht in meters
1ft=.3m
10.5 ft = 3.15m
we know H =
\(\displaystyle{u}^{{2}}{\frac{{{{\sin}^{{2}}{\left(\theta\right)}}}}{{{2}{g}}}}\)
\(\displaystyle{u}^{{2}}={\frac{{{2}{g}{H}}}{{{{\sin}^{{2}}{\left(\theta\right)}}}}}\)
\(\displaystyle{u}=\sqrt{{{\frac{{{2}{g}{H}}}{{{{\sin}^{{2}}{\left(\theta\right)}}}}}}}\)
H = 3.15 m g = 9.8m/s/s ? = 52.3
We will get
u=9.93 m/s
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