Question

The velocity-time graph of particle comes out to be a non-linear curve. The motion is

• A. uniform velocity motion
• B. uniformly accelerated motion
• C. non-uniform accelerated motion
• D. nothing can be said about the motion

Answer 1

Answer: (C)

non-uniform accelerated motion

Answer 2

Velocity-time graph gives the instantaneous value of velocity at any instant. For non-uniformly accelerated motion, $v-t$ graph Is non-linear.

• In a velocity-time graph, the slope represents acceleration.
• When the velocity-time graph of a particle results in a non-linear curve, it indicates that the particle's acceleration is changing with time.
• In other words, the particle is not moving with a constant acceleration.
• If the velocity-time graph shows a non-linear curve, the motion is termed as non-uniform accelerated motion.
• This means that the particle's speed is changing at different rates over time, leading to varying acceleration.