Question

1. 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 iii & iv b ii, iv & v c ii & iii d ii, iii & iv e i

Explanation:

Step1: Analyze velocity - time graph

The graph shows a horizontal line above the time - axis for velocity (v) versus time (t). A horizontal line in a v - t graph means the velocity is constant. 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 $a = 0$ (V is correct).

Step3: Analyze displacement

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

Answer:

B. II, IV & V