<h2>
Answers:</h2>
This is a<u> parabolic movement</u>, this means it has an X-component and Y-component, and is described by the following equations:
<u>For the Velocity:</u>
![V_{o}=V_{ox}+V_{oy}](https://tex.z-dn.net/?f=V_%7Bo%7D%3DV_%7Box%7D%2BV_%7Boy%7D)
(1)
Where
is the initial Velocity and
(2)
Where
is the final Velocity, which in this case is zero and
is the acceleration due gravity in the moon.
<u>For the distance
:</u>
![r=V_{ox}t+x_{o}+\frac{1}{2}gt^{2}+V_{oy}+y_{o}](https://tex.z-dn.net/?f=r%3DV_%7Box%7Dt%2Bx_%7Bo%7D%2B%5Cfrac%7B1%7D%7B2%7Dgt%5E%7B2%7D%2BV_%7Boy%7D%2By_%7Bo%7D)
Where
and
are the components of the initial position of the ball and we will assume it as zero in our reference system.
Therefore the equation for distance becomes:
(3)
And can be written as:
(4)
Having this established, let's begin with the answers:
<h2>(a) The time of flight for the golf ball</h2>
For this case, the equation of the velocity will be useful <u>(equation 2):</u>
(5)
Substituting the known values and solving to find ![t](https://tex.z-dn.net/?f=t)
(6) >>>>This is the time of flight for the golf ball
<h2>b) The range (distance traveled by the ball)</h2>
For this case, the equation of the distance will be useful <u>(equation 4)</u>:
Substiting the value of
found on (6):
(7)
Solving and finding
:
(8)
>>>>This is the range of the golf ball