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1. The distance s metres moved by a particle travelling in a straight line in t seconds is given by
s=45t+11t²-t³. Find the acceleration when the particle comes to rest.
To Find the Acceleration of the particle, you need to diiferentiate the given distance equation to get The velocity:
In this case,
V = ds/dt = 45 + 22t-2t^2
a = dV/dt = 22 - 4t
When the particle comes to rest, acceleration = 0, since the particle is not travelling.
and the rest is simple algebra to figure....hope this helps.
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