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The displacement of a particle starting from rest given by s=6t (square)-t (cube).The in seconds at which the particles will attain zero velocity again is?
Most Upvoted Answer
The displacement of a particle starting from rest given by s=6t (squar...
Given:
The displacement of a particle starting from rest given by s=6t2-t3.

To find:
The time in seconds at which the particle will attain zero velocity again.

Solution:

Step 1: Velocity of the particle is given by v=ds/dt.

v=12t-3t2..........(1)


Step 2: At zero velocity, v=0.

12t-3t2=0


Step 3: Factorizing the above equation, we get

3t(4-t)=0


Step 4: Therefore, t=0 or t=4.

Step 5: At t=0, the particle is at rest. Hence, the particle attains zero velocity again after 4 seconds.

Answer: The particle will attain zero velocity again after 4 seconds.
Community Answer
The displacement of a particle starting from rest given by s=6t (squar...
And is t=4 it is simple easily differentiate the distance with time so you get velocity then equal to zero so answer get
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The displacement of a particle starting from rest given by s=6t (square)-t (cube).The in seconds at which the particles will attain zero velocity again is?
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