Melody

NO we must have gestated in the same womb!

Zegroes, If you had some points there to start with I definitely did not take them.

But I will give you thumbs up so now you have 3 points. Happy?

thanks Rosala. 

a flower for you.

Nope I don't think so.  At this stage I think this is a massively long and convolured problem so I am just working on it in bits.  I'd really like someone to point out the error in my logic below.  Thank you.

I've got a new train of thought.

This is just a little bit of my newest thought pattern

I am just looking at number possibilities of the 4 letters here.

4 letters are chosen from the alphabet.  And these are supposed to be the number of possibilities  but something is wrong!

Letters all different = 26*25*24*23=358800
letters 2 the same= 26*1*25*24*6= 93600
letters 3 the same=26*1*1*25*4=2600
Letters all the same=26
Add all these and I get 455026
Now I know it should add up to 26⁴=456976 so I am short a few possibilities here.

WHY AM I SHORT???

NOTE: 456976-455026=1950=25*26*3  (does this help?)

$$\begin{array}{rll}
cos60^0&=&\frac{\dot{x}}{12}\\\\
\dot{x}&=&12\times \frac{-1}{2}\\\\
&=&\:-6m/s
\end{array}$$

It can  be seen from the diagram that the velocity in the x direction must be negative.

It should be noted that jboy314 didn't notice the word "even"

this is a very common oversite.  I did it myself not that long ago.

Alan and Jboy's answers are the most common but I do like Chris's take on the problem.   

I would like to thank the anonymous answerer for participating.  The reason that yours is not correct is that you have assumed a constant velocity of 5m/s.

The velocity is not constant.  In the beginning the downward velocity is 0.

Then as the lid falls it gets faster because it is accelerating at approx 9.8m/s² (That is gravity)

I am going to do it using calculus.

$$\\
When\:\: t=0,\:\: y=1.2m,\:\: \dot{y}=0 \\\\
\ddot{y}=-9.8m/s^2 \:\:(gravity)\\\\
\dot{y}=-9.8t+c_1\qquad \mbox{But since y dot=0 when t=0,} c_1=0}\\\\
\dot{y}=-9.8t\\\\
y=\frac{-9.8t^2}{2}+c_2 \qquad \mbox{substituting you get }c_2=1.2}\\\\
y=\frac{-9.8t^2}{2}+1.2\\\\
\mbox{Find t when x=0}\\\\$$

$$\begin{array}{rll}
0&=&\frac{-9.8t^2}{2}+1.2\\\\
0&=&-9.8t^2+2.4\\\\
9.8t^2&=&2.4\\\\
t^2&=&\frac{2.4}{9.8}\\\\
t&=&\sqrt{\frac{2.4}{9.8}}\\\\
t&=&0.4948\\\\

\end{array}$$

$$\mbox{The lid will shatter in 0.495 seconds}$$

Thank you Rosala,

Do you know what the origins of the saying is. Why does it mean that, do you know?

Thank you Alan and Chris,

I would not have had a clue about any of this question.

I am completely unfamiliar with graphs like these which actually surprises me.

I am only familiar with the diagonal hyperbolas with no squared terms.