JEE Main & Advanced
Physics
Motion in a Straight Line / सरल रेखा में गति
Question Bank
Non-uniform Motion
question_answer
The displacement of a particle starting from rest (at \[t=0\]) is given by \[s=6{{t}^{2}}-{{t}^{3}}\]. The time in seconds at which the particle will attain zero velocity again, is [SCRA 1998]
A) 2
B) 4
C) 6
D) 8
Correct Answer:
B
Solution :
\[v=\frac{ds}{dt}=12t-3{{t}^{2}}\] Velocity is zero for \[t=0\] and \[t=4\sec \]