Question

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

A
54 m
B
81 m
C
24 m
D
32 m
Solution
Verified by Toppr

#### Given that,x=9t2−t3.....(I)We know that,v=dxdtThe maximum speed isv=18t−3t2v maximum, at dvdt=0dvdt=18−6tThe time will be0=18−6tt=3 secThe position of the particle at 3 secPut the value of t in equation (I)x=9×9−27x=81−27x=54 mThe position of the particle will be 54 m.Hence, Option A is correct

19
Similar Questions
Q1

The position x of a particle with respect to time t along x-axis is given by x=9t2t3, where x is in metres and t in seconds. What will be the position of this particle when it achieves maximum speed along the +x direction?

View Solution
Q2

The position of particle travelling along x-axis is given by xt=t39t2+6t where xt is in cm and t is in second. Then–

View Solution
Q3

The position x of a particle w.r.t time t alon x-axis is given by x=9t2t3 where x is in metre and in second. Find What will be the position of this particle when it achieves max speed along +x direction?

View Solution
Solve
Guides