Question

question 5 (1 point)
the graph represents the relationship between velocity and time for an object moving in a straight line.
which of the following statements is true?
a. the object speeds up
b. the object slows down
c. the object moves with a constant velocity
d. the object stays at rest

Explanation:

Step1: Analyze the velocity - time graph

In a velocity - time graph, if the velocity \(v\) is constant (the graph is a horizontal line), the acceleration \(a=\frac{\Delta v}{\Delta t}=0\).

Step2: Evaluate each option

• Option A: For an object to speed up, the velocity should be increasing (\(\Delta v> 0\)), but the graph shows a horizontal line (\(\Delta v = 0\)).
• Option B: For an object to slow down, the velocity should be decreasing (\(\Delta v<0\)), but the graph shows a horizontal line (\(\Delta v = 0\)).
• Option C: Since the velocity \(v\) is constant (the value of \(v\) does not change with time \(t\)), the object moves with a constant velocity.
• Option D: If the object stays at rest, \(v = 0\). But the graph shows \(v

eq0\) (a non - zero constant value).

Answer:

C. The object moves with a constant velocity