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
Open in App
Solution
Verified by Toppr
Given that,
x=9t2−t3.....(I)
We know that,
v=dxdt
The maximum speed is
v=18t−3t2
v maximum, at dvdt=0
dvdt=18−6t
The time will be
0=18−6t
t=3sec
The position of the particle at 3 sec
Put the value of t in equation (I)
x=9×9−27
x=81−27
x=54m
The position of the particle will be 54m.
Hence, Option A is correct
Was this answer helpful?
19
Similar Questions
Q1
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 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=t3–9t2+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=9t2−t3 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?