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Questions  

The position of a particle moving in a straight line is given by x=3t318t2+36t. Here x is in m, and ‘t’ in second. Then

a
Direction of velocity and acceleration both change at t=2 sec
b
The distance travelled by particle is equal to magnitude of displacement for t = 0 to t = 5
c
The speed of particle is decreasing in t= 0 to t = 2sec then it is increasing for t>2
d
The magnitudes of velocity and acceleration are equal at t = 0

detailed solution

Correct option is B

x=3t3−18t2+36t v=dxdt=9t−22⇒a=18t−2

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