ATAR Notes: Forum
VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: lolaishappy on October 11, 2014, 01:49:49 pm
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Hii I need help with a application question, it goes like this..
The velocity of a toy remote car is given by v(t)=6/(t+1)^2-6,
t is in seconds
v(t) is in m/s
t domain is [0,4]
they also give a co-ordinate (0,-5)
I also worked out the anti derivative which is displacement as -6/(t+1) -6t +1=0
So my question is "Show that the car did not stop"
The answer at the b.o.b says "v=0 at t=0, -1 (not defined), i.e, no stops"
I don't understand what they mean, can someone help clarify what I should say for the answer. Thanks so much ;)
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The velocity gives you the speed of something in a given direction.
Therefore to show that the car did not stop, you must show that v(t)≠0
When you put 6/(t+1)^2-6=0 into your CAS, you get no solution
Therefore the car did not stop