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# Answer to Question #102926 in Mechanics | Relativity for Emilie

Question #102926
Kinematics
A dust particle kicked by Neil Armstrong on the moon leaves the lunar surface travelling at 2.0 m/s upwards. It moves upwards to a maximum height and then begins to falling back downwards. When it return to neils waist height on its descent( a height of 120cm above the lunar surface) it is falling at 33 cm/s

Determine the acceleration
Maximum height
And how long it takes from being kicked upwards to reach neils waist height on its descent
1
2020-02-14T09:33:05-0500

From the coservation of energy:

"0.5mv^2=0.5mu^2+mah"

Acceleration:

"a=\\frac{v^2-u^2}{2h}=\\frac{2^2-0.33^2}{2(1.2)}=1.6\\frac{m}{s^2}"

Maximum height:

"H=\\frac{v^2}{2(a)}=\\frac{2^2}{2(1.6)}=1.25\\ m"

"t=t_1+t_2=\\frac{v}{a}+\\frac{u}{a}=\\frac{v+u}{a}"

"t=\\frac{2+0.33}{1.6}=1.46\\ s"

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