@doc Schuster can you make a video SHOWING what jerk looks like? when I think about these problems i always think about a car traveling on a road stopping at stop signs and stuff. every time I try to imagine jerk I picture it just as accelerating. can you give a visual of what jerk looks like, maybe even go one step further and show jounce (I believe that is the derivative after jerk) go even further if you want, it would be cool to see as many examples of the derivatives of motion as possible. also, did you make a mistake in the video? shouldn't jerk be m/s³
I'm a little late but I hope I can help aniway, immage a rocket, it has a mass and it's engine produces thrust, so when the engine is ignited it accelerates the rocket, but the engine also consumes fuel, which translates into an acceleration of acceleration, and here we have it, jerk
rouid ali for uniform velocity the slope will be a straight line whereas for constant velocity the acceleration will be zero represented by a horizontal line parallel to the x axis
Sir,Can anyone explain this to me:Why does a free falling object cover 4.5m in 1 second instead of 9.8m in 1 sec as it’s accelerating at a rate of 9.8m/s^2.I would be very great full if you explain this to me in details.Again,Thanks.
A falling object's velocity changes by 9.8m/s every second. If the initial velocity is 0m/s, the velocity after 1 second is 9.8m/s, and the average velocity during this time is therefore 4.9m/s (acceleration here is assumed to be constant, so the graph of velocity is linear). The 1 second of elapsed time, multiplied by the average velocity (change in position per unit of time) of 4.9m/s during this second, is equal to 4.9 seconds*meters/second, or 4.9 meters. Arithmetically: 1s*½(9.8m/s-0m/s) = 4.9m
d^2x/dt^2 = a. It could certainly be a sharp concave curve, but could also be the exact opposite from what you've described. You need to think about how the graph of a is SLOPED (up? down? flat?). You're doing calculus!!!!! If this doesn't make sense, you need to watch a bunch more videos on derivatives. I have some.
