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

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Answer 1 · 2016-05-24T10:04:01

#"Speed of object is: "v((2pi)/3)=-1/2#

#v(t)=d/(d t) p(t)#

#v(t)=d/(d t) [cos(t-pi/2)]#

#v(t)=-sin(t-pi/2)#

#v((2pi)/3)=-sin((2pi)/3-pi/2)#

#v(2pi/3)=-sin(pi/6)#

#sin (pi/6)=1/2#

#v((2pi)/3)=-1/2#