SOLUTION: A particle travels in a straight line in such a way that; t seconds after passing through a fixed point 0, its displacement from 0 is s metres. Given that s=4-8/(t+2) find: i) E

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: A particle travels in a straight line in such a way that; t seconds after passing through a fixed point 0, its displacement from 0 is s metres. Given that s=4-8/(t+2) find: i) E      Log On


   



Question 1187897: A particle travels in a straight line in such a way that; t seconds after passing through a fixed point 0, its displacement from 0 is s metres. Given that s=4-8/(t+2) 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 Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A particle travels in a straight line in such a way that; t seconds after passing through a fixed point 0, its displacement from 0 is s metres.
Given that s=4-8/(t+2) find:
i) Expression in terms of t, for the velocity and acceleration of the particle.
Speed is the first derivate of displacement.
s=4-8%2F%28t%2B2%29+=+4+-+8%28t%2B2%29%5E-1
ds%2Fdt+=+-8%2A%28-1%29%2A%28t%2B2%29%5E-2+=+8%2F%28t%2B2%29%5E2
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ii) The value of t when the velocity of the particle is 0.125m/s
8%2F%28t%2B2%29%5E2+=+0.125
8+=+0.125%28t%2B2%29%5E2
(t+2)^2 = 64
t+2 = 8
t = 6
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iii) The acceleration of the particle when it is 3.5m from 0.
accel is the 2nd derivative of displacement.