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

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

Expert's answer

From the coservation of energy:

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:

"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"

Learn more about our help with Assignments: MechanicsRelativity

## Comments

## Leave a comment