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

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

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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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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.

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.

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.

- A car drives north for 35 minutes at 85 km/hr and then stop for 15 mins. The car continues north traveling 130 km in 2 hours. What is the total displacement and average velocity?
- An object's two dimensional velocity is given by #v(t) = ( t^2 +2t , cospit - 3t )#. What is the object's rate and direction of acceleration at #t=7 #?
- What is the average speed of an object that is still at #t=0# and accelerates at a rate of #a(t) = 36-t^2# from #t in [0, 5]#?
- An object travels North at #8 m/s# for #7 s# and then travels South at #3 m/s# for #9 s#. What are the object's average speed and velocity?
- A, B, C or D?

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