What is instantaneous acceleration? Let me know by derivative. Thanks in anticipation.

Answer 1

See below

Instantaneous acceleration is acceleration at a certain time. It can be found by taking the derivative of velocity.

So for example, let's say we have a velocity function of #v(t)=3t^2+7# and we want to find the acceleration at #t=3#. All we have to do is take the derivative of that and plug in #3#. So our instantaneous acceleration function would be:

#a(t)=6t#

And plugging in #3# would give:

#a(3)6(3)=18#

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Answer 2

Nicholas Agrusa

Instantaneous acceleration is the derivative of velocity with respect to time. Mathematically, it is expressed as the first derivative of velocity with respect to time or the second derivative of displacement with respect to time.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.