# A mountain lion can make a leap 10.0 m long,

Carole Yarbrough 2021-12-17 Answered

A mountain lion can make a leap 10.0 m long, reaching a maximum height of 3.0 m.
(a) What is the speed of the mountain lion just as it leaves the ground?
(b) At what angle does it leave the ground?

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Ella Williams

Range =10.0 m

we use motion in y direction
${V}_{fy}^{2}={V}_{oy}^{2}=2g\mathrm{△}y$

we have range $R={V}_{x}×$
We find 1st time use 2nd equation ofmotion
$y=ut+\frac{1}{2}{>}^{2}$
$3=0+\frac{1}{2}×9.8{t}^{2}⇒t=\sqrt{\frac{3}{4.9}}$
So
So finally speed $|v|=\sqrt{{V}_{o}{y}^{2}+{V}_{x}^{2}}$
$|v|=\sqrt{{\left(7.668\right)}^{2}+{\left(12.78\right)}^{2}}$

2) angle $\theta ={\mathrm{tan}}^{-1}\left(\frac{{V}_{oy}}{{V}_{x}}\right)$
$\theta ={\mathrm{tan}}^{-1}\left(\frac{7.668}{12.78}\right)={36.9}^{\circ }$
$\theta ={36.9}^{\circ }$
The speed of the mountain lion as it leaves the ground is 14.9 m/s.
The mountain lion leaves the ground at 36.9°

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