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) (Show Source): You can put this solution on YOUR website!
i) The velocity function is the first derivative of the displacement function, so \ =\ \frac{ds}{dt})
. The acceleration function is the first derivative of the velocity function or the
second derivative of the displacement function, \ =\ \frac{dv}{dt}\ =\ \frac{d^2s}{dt^2})
.
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
I > Ø
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