Mechanics

how do you determine whether acc. is uniform or non-uniform using calculus(not by graph) ???

any help is thoroughly appreciable !

thanks .

SINGH SINGH

15 Years agoGrade

1 Answer

Ritvik Gautam

Approved Tutor Answer15 Years ago

Suppose, we are given velocity in terms of time, say

v=bt

Now for acceleration, we need to differentiate velocity, i.e.,

a=d(v)/dt

a=d(bt)/dt

a=b

which means a is not dependent on time and is constant i.e., b.

So, we conclude that after differentiating the velocity to get the acceleration, If we get a constant term which is independent of any kind of variable, then the acceleration is constant.

Please Approve!!

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how do you determine whether acc. is uniform or non-uniform using calculus(not by graph) ??? any help is thoroughly appreciable ! thanks .

SINGH SINGH

1 Answer

Ritvik Gautam

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how do you determine whether acc. is uniform or non-uniform using calculus(not by graph) ???

any help is thoroughly appreciable !

thanks .

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.

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