The position of an object moving along a line is given by #p(t) = 2t^3 - 2t^2 +2#. What is the speed of the object at #t = 6 #?

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Answer 1 · 2017-03-09T18:22:56

#"the answer : "v(6)=192#

#"notice : " (d)/(d t)=v(t)#

#"where v is speed"#

#"we should find "(d)/(d t) p(t)" for the time t=6"#

#(d)/(d t) p(t)=v(t)=3*2 t^2-2*2*t^1+0#

#v(t)=6t^2-4t#

#v(6)=6*6^2-4*6#

#v(6)=216-24#

#v(6)=192#