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Gopal Mailpalli
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Can you list few examples.
Dale said:Is this homework?
Dale said:Ok, you should still show some effort and thought about it on your own. How are velocity and acceleration defined?
Dale said:And what is velocity?
And how are those points called where the 1st derivative is zero, but the 2nd isn't.Gopal Mailpalli said:Velocity is the first derivative of position with respect to time, where as acceleration is the second derivative of position.
Perfect. So if, for example, your position is ##x=-t^2+3t+5##, then what is your velocity and acceleration?Gopal Mailpalli said:Velocity is the first derivative of position with respect to time, where as acceleration is the second derivative of position.
Dale said:Perfect. So if, for example, your position is ##x=-t^2+3t+5##, then what is your velocity and acceleration?
A.T. said:And how are those points called where the 1st derivative is zero, but the 2nd isn't.
So the answer to your original question is...?Gopal Mailpalli said:Velocity is -2t + 3 and acceleration is -2, with its respective units.
Correct. So is there any t for which v=0? What is the acceleration at that time?Gopal Mailpalli said:Velocity is -2t + 3 and acceleration is -2, with its respective units.
mathman said:Think of the motion of a pendulum.
Dale said:Correct. So is there any t for which v=0? What is the acceleration at that time?
Also, plot the position as a function of time. Do you notice anything special about the time you found above?
Velocity doesn't remain zero, because acceleration is not zero. Velocity is instantaneously zero.Gopal Mailpalli said:Thank you, i understood that at extreme positions, the velocity remains zero
The velocity changes its sign, not the acceleration.Gopal Mailpalli said:but acceleration is non-zero (changes its sign)
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