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S represents the displacement, and t represents the time for objects moving with rectilinear motion, according to the given functions. Find the instantaneous velocity for the given times.$$s=2 t^{3}-4 t^{2} ; t=4$$

96

Calculus 1 / AB

Chapter 23

The Derivative

Section 5

Derivatives of Polynomials

Derivatives

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Welcome to New Madrid. We are given the rectilinear motion in the form of the situation is is equal to To T. -4. 3 square. We have to find the instantaneous velocity also were given function at T. Is because Uh huh. So taking differentiation with respect to T on both sides of the given displacement. So it would be to take U -40 square. Next we will do term by term differentiation of today Cuban 40 square since two is the coefficient, it will come out of the differential sign and it will only take you. And here also we will have minus four into DDT of two the script. So we have to into three t squared minus four into two T. So we will have six T square minus eight teeth. So we can take to T common and we will have three T -4. So D. S. D T at T. Z equals to four would be two into four, Bracket three into 4 fine. That would be eight into this is 12 -4, Which is eight into 8 which is 64, So therefore at T equals to four, the instantaneous velocity is 64. I hope you could understand this problem. Let me know if you have any questions.

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