SOLUTION: A particle travels in a straight line in such a way that,t seconds after passing through a fixed point 0, it's displacement from 0 is s metres. Given that s=4-8(t+2)^-1,find i)

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Question 1187850: A particle travels in a straight line in such a way that,t seconds after passing
through a fixed point 0, it's displacement from 0 is s metres. Given that
s=4-8(t+2)^-1,find
i) Expression in terms of t, for the velocity and acceleration of the particle.
ii) The value of t when the velocity of the particle is 0.125m/s.
iii) The acceleration of the particle when it is 3.5m from 0.
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


i) The velocity function is the first derivative of the displacement function, so . The acceleration function is the first derivative of the velocity function or the
second derivative of the displacement function, .

ii) Set the velocity function equal to 0.125 m/s and solve for

iii) Set the displacement function equal to 3.5 m and solve for . Then evaluate

John

My calculator said it, I believe it, that settles it

From
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