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November 08, 2025, 08:24:29 am

Author Topic: anti differentiation application  (Read 618 times)  Share 

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lolaishappy

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anti differentiation application
« 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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pinklemonade

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Re: anti differentiation application
« Reply #1 on: October 18, 2014, 02:46:47 pm »
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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
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