Question

The velocity (\(v\)) – time (\(t\)) graph of a particle cuts the time axis, then the particle}

• A. has maximum displacement at that instant
• B. reverses its direction of motion at that instant
• C. has a constant velocity throughout its motion
• D. has maximum acceleration at that point
• E. has maximum velocity at that instant

Hint:

When velocity changes sign, the direction of motion changes. A \(v\)-\(t\) graph crossing the time axis means reversal of direction.

Answer 1

The Correct Option is B

If the velocity-time graph cuts the time axis, then at that instant: \[ v=0 \] If it crosses the axis, velocity changes sign: \[ +\text{ve} \to -\text{ve} \quad \text{or} \quad -\text{ve} \to +\text{ve} \] That means the particle reverses its direction of motion.
Hence, the correct answer is: \[ \boxed{(B)} \]