8. which description best fits the motion shown in the graph? (select all that apply) i. the object is not…

8. 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

8. 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

Answer

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