Easy math/physics questions about kinematics
Author
Hi,
Okay, I''m working on a program that will output RIB code for a ball that, at time zero, is sitting on a table. Someone hits the ball (force is parallel to table surface) and it travles off table & bounces on ground.
Anyway, I have a few general quick & easy questions about some stuff:
My program will have a "start" point, "end" (where it''s going to next) and a "force" variable.
I am assuming that I can do the following:
vector velocity = force * (end-start); //where end, start & velocity are vectors)
First, will vector velocity be in units/sec after I do the previous calculation?
At time 1, how do I calculate the balls new position? (related: what is a displacment function for this?)
I understand most concepts covered in calculus, and some _very_ basic physics concepts.
Thank you,
-Pete
Author
I think I might have figured out the displacement functino I was in search of. . . can anyone back me up on this:
Displacement = d
d(2) = d(1) + v(1)*t + ((a*t^2)/2)
Does that seem right?
-pete
Displacement = d
d(2) = d(1) + v(1)*t + ((a*t^2)/2)
Does that seem right?
-pete
Yes, for constant acceleration. It also handles deceleration (just use a negative value for accelration), and works in 2 and 3D if you replace d, v and a with vectors. The main thing is the acceleration must be costant for such a formula to work.
the second post had a known and usuable equation for constant acceleration.
the first post had this:
I am assuming that I can do the following:
vector velocity = force * (end-start); //where end, start & velocity are vectors)
always replace numbers with their units and ask yourself does this "equal" in the sense that the units are the same.
you got a velocity = force * velocity. doesnt equal. its an invalid equation. physics will always mandate valid equations have units that equal.
the first post had this:
I am assuming that I can do the following:
vector velocity = force * (end-start); //where end, start & velocity are vectors)
always replace numbers with their units and ask yourself does this "equal" in the sense that the units are the same.
you got a velocity = force * velocity. doesnt equal. its an invalid equation. physics will always mandate valid equations have units that equal.
in regards to that second equation. that has acceleration which is a.
a = f/m
accleration equals force divided by mass. if your going to have a concept of force in your simulation youll need a mass. BUT!! thats force applied constantly over time. your force from the side isnt being applied constantly over time.
easier to start with is just dropping a ball. then you have a force constantly over time with a rest start state. to use the idea of a "bump" you got a concept of an "impulse" its different. in practice though for you easier then that is a sort of cheap v = a*t over a small t. all this says is that im applying a force over a small time. im pushing for 1/10 of a second. then from there you have the easy x equation.
a = f/m
accleration equals force divided by mass. if your going to have a concept of force in your simulation youll need a mass. BUT!! thats force applied constantly over time. your force from the side isnt being applied constantly over time.
easier to start with is just dropping a ball. then you have a force constantly over time with a rest start state. to use the idea of a "bump" you got a concept of an "impulse" its different. in practice though for you easier then that is a sort of cheap v = a*t over a small t. all this says is that im applying a force over a small time. im pushing for 1/10 of a second. then from there you have the easy x equation.
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