Question

The position - time graph given below shows that body can be
1) Uniform motion
3) Uniform retardation
2) Uniform acceleration
4) Uniform velocity
​

Answer 1

Answer:

According to me, the options are mistaken, the answer is non-uniform velocity.

The slope of a position time graph shows the velovity of the object and here, the slope is not straight, so, the graph shows non-uniform velocity

Answer 2

Answer:

The plot shows a non-uniform motion with deceleration.

Explanation:

Given a position-time graph which shows a concave down.

• In position-time graph, time is taken on x-axis and instantaneous position on y-axis.
• The slope of position-time graph gives the velocity of the moving body. i.e., $v=\frac{\Delta y}{\Delta x}$
• In general, any curved position-time graph indicates non-uniform motion.
• In the present graph, the rate of change is larger initially, and the slope is a little steeper.
• Since the rate of change of a position-time graph is the object’s velocity, that means the object is moving faster initially.
• Later the slope is decreasing, means the object is slowing down, which is a decelerated motion.
• If position-time graph plot is concave down then $\frac{d^{2} x}{dt^{2} } < 0$, hence the acceleration is negative.
• Therefore, the plot shows a non-uniform motion with deceleration.

The given options are not correct.