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?

Other
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?

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