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Questions  

The position x of a particle with respect to time t along X-axis is given by x = 9t2  t3 
where x is in metre and t in second. What will be the position of this particle when it achieves maximum speed along the + X direction?
 

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By Expert Faculty of Sri Chaitanya
a
32 m
b
54 m
c
81 m
d
24 m

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detailed solution

Correct option is B

x=9t2-t3v=dxdt=18t-3t2a=dvdt=18-6tWhen   a=0,   v=maximum 18=6t   t=3secx=9×32-33=81-27=54m


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