A particle moves along a curve whose parametric equations are given below
3 2 x t y tz t t = + =− = + 3, sin 4 , 3 , where t is the time. Then determine its acceleration
at any time.
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here is your answer
Position of the particle x=2t2−t3
Velocity v=dtdx=4t−3t2
Acceleration a=dtdv=4−6t
So, a( at t=2 s)=4−6×2=−8 m/s2
Since, acceleration is depending on the time. SO, acceleration is not constant.
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I hope it will help you
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