Question

The position of a particle moving along the x-axis at certain times is given below:

t (s)	0	1	2	3
x (m)	– 2	0	6	16

Which of the following describes the motion correctly.

• A. Uniform, accelerated
• B. Uniform, decelerated
• C. Non-uniform, accelerated
• D. There is not enough data for generalization

Answer 1

Answer: (A)

Uniform, accelerated

Answer 2

Instantaneous velocity $v = \frac{\Delta x}{\Delta t}$, By using the data from the table

$v_{1} = \frac{0 - ( - 2)}{1} = 2m/ ⥂ s,v_{2} = \frac{6 - 0}{1} = 6m ⥂ / ⥂ s$ and

$v_{3} = \frac{16 - 6}{1} = 10m ⥂ / ⥂ s$ i.e. the speed is increasing at a

constant rate so motion is uniformly accelerated.