if the instantaneous velocity of a particle is zero,will its instantaneous acceleration be necessarily zero
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Answered by
43
yes...
A ball thrown upwards will have zero instantaneous velocity at its highest point but the instantaneous acceleration is not zero.
Lets take the same example, motion of a ball thrown up and it falls back.
When you throw a ball upwards with initial velocity u and the highest point the velocity becomes zero.
Acceleration is given by g = (0-u)/t = -u/t
As you can see the acceleration is negative, that is it slows down the velocity of the object.
When the object at highest point has velocity v' = 0 m/s.
Final velocity can be calculated by v = u + gt = gt
Here g being positive will increase the velocity of the object.
A ball thrown upwards will have zero instantaneous velocity at its highest point but the instantaneous acceleration is not zero.
Lets take the same example, motion of a ball thrown up and it falls back.
When you throw a ball upwards with initial velocity u and the highest point the velocity becomes zero.
Acceleration is given by g = (0-u)/t = -u/t
As you can see the acceleration is negative, that is it slows down the velocity of the object.
When the object at highest point has velocity v' = 0 m/s.
Final velocity can be calculated by v = u + gt = gt
Here g being positive will increase the velocity of the object.
Answered by
43
Hey there!
No. When a stone is thrown vertically upwards, its velocity is zero at the highest point but it has a non-zero acceleration of 9.8m/s^2 at the same instant.
Hope this helps
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