https:/ -4464406 Homework 1: Set 12.1-122 Rect. Problem 12.5 Problem 12.5 Part A

Question

https:/ -4464406 Homework 1: Set 12.1-122 Rect. Problem 12.5 Problem 12.5 Part A Determine the particle's el ration when t-4.4 The velocity of a particle traveling in a straight line is given by v (6t-3t) m/s, where t is in seconds Suppose that s -whn t o Express your answer to three significant figures and include the appropriate units. Value Units Submit My Answers Give Up Part B Determine the particle's position when t44s Express your answer to three significant figures and include the appropriate units Value Units Submit My Answers Give Up Part C How far has the particle traveled during the 4.4s time interval? Express your answer to three significant figures and include the appropriste units Express your answer to three significant fiqures and include the appropriate units

Explanation / Answer

12.5 Given       v = 6t -3t2

                  a = dv/dt

                    = 6 - 6t

                s = integral of (v)dt

                s = 3t2 -t3

Solution of Part (A)    acceleration at t= 4.4 sec is

              a = 6 - 6*(4.4)

              a = -20.4 m/sec2

Solution of Part (B) Position of particle at time 4.4 sec

            s = 3t2 -t3

           s = 3(4.4)2 - (4.4)3

           s = -27.104 m

Solution of Part (C) distance travelled by particle in interwal of 4.4 sec

        = 4 + 4 +27.104

        = 35.104 m

Solution of Part (D) average speed in interwal of 4.4 sec

       Vavg = total distance travelled /total time taken

               = 35.104/4.4

               = 7.98 m/sec

       

                    

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