NEET
- Exam
- NEET
- Subject
- Physics
- Chapter
- Motion in One Dimension
NEET · Physics · Motion in One Dimension
A particle having a velocity v=v_0 at t=0 is decelerated at the...
A particle having a velocity at is decelerated at the rate (|a|=\alpha \sqrt{v}), where (\alpha) is a positive constant.
Options
- AThe particle comes to rest at (t=\frac{2 \sqrt{v_0}}{\alpha})
- BThe particle will come to rest at infinity
- CThe distance travelled by the particle before coming to rest is (\frac{2 v_0^{3 / 2}}{\alpha})
- DThe distance travelled by the particle before coming to rest is (\frac{2 v_0^{3 / 2}}{3 \alpha})
Correct answer
A. The particle comes to rest at (t=\frac{2 \sqrt{v_0}}{\alpha})
Step-by-step solution
If the velocity of a particle is constant, its acceleration must be zero as acceleration is the rate of change of velocity.