Understanding Velocity-Time Graphs and Acceleration

The relationship between a velocity-time graph and the object's acceleration is determined by the slope of the graph. Acceleration is defined as the rate of change of velocity.

Mathematically, acceleration ($a$) is the slope of the velocity-time ($v$-$t$) graph:

$ a = \frac{\Delta v}{\Delta t} $

Where:

• $ \Delta v $ is the change in velocity
• $ \Delta t $ is the change in time

Analyzing the graph's shape:

• Linear Graph (Straight Line): A straight line on a velocity-time graph indicates a constant slope. This means the acceleration is constant, referred to as uniform acceleration.
• Curved Graph (Non-linear): A curved line on a velocity-time graph signifies that the slope is changing continuously. A changing slope implies that the acceleration is not constant. This is described as non-uniform acceleration.

Since the question specifies a curved (non-linear) velocity-time graph, the object must be moving with changing acceleration.

Therefore, the object is moving with non-uniform acceleration.