Question

which description best fits the motion shown in the graph? (select all that apply)
i. the object is not moving.
ii. the object has a constant positive velocity.
iii. the object has a constant positive acceleration.
iv. the object has a positive displacement.
v. the object has zero acceleration.
a ii, iv & v
b i
c ii & iii
d iii & iv
e ii, iii & iv

Explanation:

Step1: Analyze velocity - time graph

The graph shows a horizontal line above the time - axis for velocity (v) versus time (t). A non - zero horizontal line for velocity means the object is moving with a constant velocity. Since it is above the time - axis, the velocity is positive. So, the object has a constant positive velocity (II is correct).

Step2: Analyze acceleration

Acceleration (a) is the rate of change of velocity, $a=\frac{\Delta v}{\Delta t}$. Since the velocity is constant ($\Delta v = 0$), the acceleration is zero ($a = 0$). So, the object has zero acceleration (V is correct).

Step3: Analyze displacement

Displacement ($d$) is given by the area under the velocity - time graph. Since the velocity is positive and non - zero over a non - zero time interval, the area under the graph is positive, which means the object has a positive displacement (IV is correct).

Step4: Analyze non - moving state

The object is moving as the velocity is non - zero, so I is incorrect.

Step5: Analyze acceleration value

The acceleration is zero, not a non - zero positive value, so III is incorrect.

Answer:

A. II, IV & V