Projectile motion question

1. The problem statement, all variables and given/known data



The information required is in this picture: http://i.imgur.com/Dt7F9pg.png



There are four questions based on what is in the picture.



The questions are:



1) Calculate how high above the ground the floor of the basket is before the can falls out of the basket.

2) Determine the vertical component of the can's velocity as it leaves the basket.

3) Find the time it takes for the can to hit the gowned after it leaves the basket.

4) Find the time that elapses between the basket touching the ground and the can.



2. Relevant equations



Projectile motion equations:

Vertically:



[tex]\ddot{y}=a[/tex]



[tex]\frac{d\dot{y}}{dt}=a\therefore \int d\dot{y}=\int adt\therefore \dot{y}=u\sin\theta +at[/tex]



[tex]\frac{dy}{dt}=u\sin\theta +at\therefore \int dy=\int \left ( u\sin\theta +at \right )dt\therefore y=u\sin\theta t+\frac{a}{2}t^{2}[/tex]



Horizontally:



[tex]\ddot{x}=0[/tex]



[tex]\frac{d\dot{x}}{dt}=0\therefore \int d\dot{x}=\int 0dt\therefore \dot{x}=u\cos\theta[/tex]



[tex]\frac{dx}{dt}=u\cos\theta\therefore x=u\cos\theta t[/tex]



3. The attempt at a solution



1) ??

2) 3 m/s

3) 0.612

4) The same time?

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