Needing the steps for the second part of (a): | v(t)| Do Homework - Adnan Almarh

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Needing the steps for the second part of (a): | v(t)|

Do Homework - Adnan Almarhoon - gle Chrome https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkId=337230898&questionId;=1&flushed-false;&cld-3720782;&center; in-yes Adnan Almarhoon 2/1/16 2:19 PM Homework: 11.7 Motion in Space Save Score: 0.4 of 1 pt 3 of 9 (3 complete) HW Score: 26.67%, 2.4 of 9 pts -Question Help * Consider the following position function. Find (a) the velocity and the speed of the object and (b) the acceleration of the object. rt) (413,3t6) for t2 0 (a) v(t) = ( 1r 18t5) Enter your answer in the answer box and then click Check Answer part remaining Clear All Check Answer 2:19 PM 2/1/2016

Explanation / Answer

r(t) = <4t3 , 3t6>

==> v(t) = r '(t) = <4(3)t3-1 , 3(6)t6-1>

==> v(t) = <12t2 , 18t5>

|v(t)| = [(12t2)2 + (18t5)2]

==> |v(t)| = [144t4 + 324t10]

==> |v(t)| = [36t4(4 + 9t6)]

==> |v(t)| = (36t4) (4 + 9t6)

==> |v(t)| = 6t2(4 + 9t6)

Hence |v(t)| = 6t2(9t6 +4)

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