Recent content by neilparker62

Thanks for the kind compliment but if truth be told I would say my maths is not much more than consolidated school level. I don't think I have any particularly special "connection" with AI. I just make use of it to solve problems as many others - the world over - are doing.

You can try @kuruman 's problem which Gemini managed to make a complete dog's breakfast of: Two balls are dropped from a top of a cliff at a time interval of ##t_0## . The first ball hits the ground and rebounds elastically, essentially reversing its direction instantly without losing speed. It...

To more specifically address the questions above we may note: 1) Mechanical energy is conserved for both balls and always totals mgH where H is the drop height. 2) Following from 1) the velocity of both balls originates from "converted" potential energy. Hence velocity at height h above the...

The equation above does use intervals - there's a ##\Delta t## and a ##\Delta v##. I think what it boils down to is to prove that the projectiles collide at time ##T_0+\frac{t_0}{2}## where ##T_0=\sqrt{\frac{2H}{g}}## and ##t_0## is the delay interval. To do this we can note that the bounce...

Symmetric

"It’s insane to think that they got on the moon with only 4kb of ram 50 years ago meanwhile nowadays they have their laptops with outlook on it" Should have used Linux :wink:

I think I might write that as: $$ \frac{\Delta v}{\Delta t}=\frac{\sqrt{2gH}-\sqrt{2g(H-h)}}{\frac{1}{2}t_0}= \frac{\sqrt{2gH}}{\sqrt{\frac{2H}{g}}}=g$$

Still working on problem 2 - here is a graph so long but hasn't solved things.

@robphy Thanks for your kind comment and desmos graph. As mentioned above, I'm working on developing kinematics lessons along the lines you suggest. In addition to the trapezoid area, I also split the area into two triangles leading to the equation s=(u+v)/2 x (u-v)/a. I also have done some...

Not at all. Will try to implement with emphasis on vector rather than scalar quantities. Thanks very much for the feedback. The 'presentation' hasn't been used yet. Am busy developing a set of lessons on kinematics. I thought I would pick that topic that as a 'testing ground' for rapid...

Thanks very much for your detailed comment - no apologies needed. Yes - for this particular lesson on interval kinematics we should indeed be using ##\Delta t## and probably ##\Delta v## and ##\Delta s## as well. I think the use of this equation is indeed conceptual since one can visualize...

For interest - comments welcome.

Some snapshots taken from the live stream. Times as recorded on my cellphone. GMT+2 23:49 01:54 02:07 02:09

ditto from Nairobi, Kenya!