Wednesday, December 23, 2009

Can an object have a zero instantaneous velocity and a non-zero acceleration?

thanks.Can an object have a zero instantaneous velocity and a non-zero acceleration?
Yes. Consider a ball thrown straight up. As it peaks, its velocity is zero, but it's still accelerating at -9.8m/s^2Can an object have a zero instantaneous velocity and a non-zero acceleration?
yes, and the way to find this is through calculus. a simple way to explaining this is that there is this thing called a derivative, its tangent to a function.


so if your function is for displacement, you can take the derivative for velocity


at any time t, the V is instantaneous, so it can be 0


by another derivative you get acc. from there, you plug in the same number but get a different answer



yes.





example, an object starts out with a forward velocity, and a negative acceleration. At some point, the object slows down and the velocity = 0 and then becomes negative, ie, it moves the other way.





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