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MATH 1300.03F D Quiz 9 Friday, November, 19 1999

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Student Number:tex2html_wrap_inline41 No.tex2html_wrap_inline43Marks tex2html_wrap_inline45


(2 Marks) The position s(t), at time t, of an object is given by
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(1) Find the velocity of the object at time t.

(2) Find the acceleration of the object at time t.

(3) Use a number line to sketch the motion of the object, indicate the direction of motion, and indicate where the object is slowing down and where it is speeding up.

Solution. (1) The velocity of the object at time t is
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Let v(t)=0. Noting that v(t)=3(t-6)(t+2), we have t=6 and t=-2.

(2) The acceleration of the object at time t is
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Let tex2html_wrap_inline83. Then t=2.

(3) We list the following table.


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quiz9.gif (1724 bytes)




Kunquan Lan
Fri Nov 19 15:04:00 EST 1999