Position–time graphs Knowledge-Based Practice

Questions

1. 1.

   When comparing the position–time graphs of two objects moving along the same straight line, what graphical feature directly indicates which object has the greater speed at a given instant?

   • A) The vertical distance of each curve from the horizontal time axis
   • B) The steepness, or absolute value of the slope, of each curve
   • C) The area bounded between each curve and the horizontal time axis
   • D) The vertical intercept where each curve crosses the position axis
2. 2.

   On a position–time graph representing one-dimensional motion, what physical quantity is directly indicated by the vertical intercept?

   • A) The initial velocity of the object
   • B) The initial position of the object
   • C) The total distance traveled by the object
   • D) The constant acceleration of the object
3. 3.

   On a position–time graph representing the one-dimensional motion of an object, what does a parabolic curve indicate about the motion?

   • A) The object moves at a constant non-zero velocity.
   • B) The object experiences an acceleration that increases linearly with time.
   • C) The object remains stationary at a fixed position throughout the interval.
   • D) The object moves with a constant non-zero acceleration.
4. 4.

   On a position–time graph representing one-dimensional motion, which physical quantity is represented by the slope of a secant line connecting two distinct points on the graph?

   • A) Average velocity over that time interval
   • B) Instantaneous velocity at the midpoint of that time interval
   • C) Average acceleration over that time interval
   • D) Total distance traveled during that time interval
5. 5.

   How is the displacement of an object moving in one dimension determined directly from its position–time graph for a given time interval?

   • A) By finding the difference between the position values at the final and initial times of the interval
   • B) By calculating the area bounded by the graph line and the horizontal time axis over the interval
   • C) By determining the average slope of the line connecting the initial and final points
   • D) By measuring the geometric length of the plotted curve between the two time values
6. 6.

   On a position–time graph representing the one-dimensional motion of an object, what does a point where the graph crosses the horizontal time axis directly represent?

   • A) The moment when the object temporarily comes to rest
   • B) The instant when the object reverses its direction of motion
   • C) The moment when the object experiences zero acceleration
   • D) The instant when the object passes through the reference position (origin)
7. 7.

   Which physical quantity is represented by the slope of the tangent line at a specific point on a position–time graph?

   • A) The instantaneous acceleration of the object at that instant
   • B) The instantaneous velocity of the object at that instant
   • C) The average velocity of the object across the entire motion
   • D) The net displacement of the object up to that instant
8. 8.

   On a position–time graph for an object moving along a straight line, what does a horizontal line segment parallel to the time axis indicate?

   • A) The object is moving with a constant non-zero velocity.
   • B) The object remains stationary at a fixed position.
   • C) The object is moving with constant non-zero acceleration.
   • D) The object is moving steadily toward the reference origin.
9. 9.

   Which feature of a position–time graph indicates that an object moving in one dimension has reversed its direction of motion?

   • A) The graph crosses the horizontal time axis.
   • B) The slope of the graph changes its algebraic sign.
   • C) The graph becomes parallel to the horizontal axis.
   • D) The steepness of the graph reaches its maximum value.
10. 10.

    On a position–time graph depicting the one-dimensional motion of two separate objects, their respective lines intersect at a specific time. What does this point of intersection directly indicate?

    • A) The two objects have the identical position at that instant.
    • B) The two objects have the identical velocity at that instant.
    • C) The two objects have traveled the exact same total distance up to that instant.
    • D) The two objects have the identical acceleration at that instant.
11. 11.

    The position–time graph of an object moving along a straight line curves such that its slope is positive and becomes progressively less steep over time. What can be concluded about the object's motion during this interval?

    • A) The object is moving in the negative direction and speeding up.
    • B) The object is moving in the positive direction at a constant speed.
    • C) The object is moving in the negative direction and slowing down.
    • D) The object is moving in the positive direction and slowing down.
12. 12.

    A position–time graph for an object moving along a straight line is linear, starting at a position of 30 m at $t = 0\text{ s}$ and ending at $-10\text{ m}$ at $t = 8\text{ s}$. What is the velocity of the object during this time interval?

    • A) $-5\text{ m/s}$
    • B) $5\text{ m/s}$
    • C) $-4\text{ m/s}$
    • D) $4\text{ m/s}$

Answers and step-by-step solutions appear after you finish the test.