loco85
The displacement (in meters) of a particle moving in a straight line is given by the equation of motion below, where t is measured in seconds.
http://www.webassign.net/cgi-bin/symimage.cgi?expr=s%20%3D%207%2Ft%5E2
(a) Find the velocity of the particle at time t = a.
m/s
(b) Find the velocity of the particle at time t = 1.
m/s
(c) Find the velocity of the particle at time t = 2.
m/s
(d) Find the velocity of the particle at time t = 3.
m/s
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bendt
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Differentiate and put your values of t in.
dhatraditya
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velocity is ds/dt
so differentiate your equation, then plug in values for t
alice_smith
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the answer is d
loco85
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It's not multiple choice.
dhatraditya
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huh? this is not a multiple choice question
alice_smith
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oh
bendt
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Have you got it loco?
loco85
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I'm having trouble figuring out how to do it.
alice_smith
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u get better i tryed
bendt
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\[v=\frac{ds}{dt}=\frac{d(7t^{-2})}{dt}=-14t^{-3}\]That's your function for velocity, now just plug in the values of t.
loco85
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What would the value for a be then?
bendt
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-14/a^3
loco85
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The way you showed is really helpful.
bendt
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Good, glad I helped.