Constant velocity motion Knowledge-Based Practice

Questions

1. 1.

   A car travels along a straight path at a constant velocity of 24 m/s. If a truck travels along the same path and completes the same displacement in 1.5 times the time taken by the car, what is the velocity of the truck?

   • A) 36 m/s
   • B) 18 m/s
   • C) 12 m/s
   • D) 16 m/s
2. 2.

   Two toy cars start from the same point at the same time and travel along a straight path in opposite directions at constant speeds of 4.0 m/s and 6.0 m/s. What is the separation distance between the cars after 12 s?

   • A) 24 m
   • B) 120 m
   • C) 72 m
   • D) 48 m
3. 3.

   A vehicle travels along a straight highway at a constant velocity of 108 km/h. How many seconds does it take for the vehicle to travel a distance of 450 m?

   • A) 4.2 s
   • B) 10 s
   • C) 12 s
   • D) 15 s
4. 4.

   Two carts, X and Y, move along a straight track at constant speeds. Cart X travels 180 m in 12 s, while cart Y travels 240 m in 20 s. What is the ratio of the speed of cart X to the speed of cart Y ($v_X / v_Y$)?

   • A) 1.25
   • B) 0.80
   • C) 1.33
   • D) 0.75
5. 5.

   The position of a particle moving along a straight line is given by $x(t) = -36 + 4.5t$, where position is in meters and time is in seconds. At what time does the particle pass the origin ($x = 0$)?

   • A) 4.5 s
   • B) 6.0 s
   • C) 8.0 s
   • D) 16 s
6. 6.

   A train of length 120 m travels at a constant velocity of 20 m/s along a straight track. How much time does it take for the train to completely pass through a 280 m long tunnel?

   • A) 8.0 s
   • B) 14 s
   • C) 24 s
   • D) 20 s
7. 7.

   Two vehicles move directly toward each other along a straight track at constant speeds of 18 m/s and 12 m/s. If the vehicles are initially separated by 450 m, what distance does the slower vehicle travel before they pass each other?

   • A) 150 m
   • B) 225 m
   • C) 270 m
   • D) 180 m
8. 8.

   Two runners, A and B, travel along a straight track in the same direction with constant speeds of 3.0 m/s and 5.0 m/s, respectively. If runner A starts 24 m ahead of runner B at time $t = 0$, at what time does runner B catch runner A?

   • A) 3.0 s
   • B) 8.0 s
   • C) 12 s
   • D) 24 s
9. 9.

   A particle moves along the $x$-axis with a constant velocity of $-8.0\text{ m/s}$. What are the particle's average speed and average velocity over a $5.0\text{ s}$ time interval?

   • A) Average speed is $-8.0\text{ m/s}$, and average velocity is $-8.0\text{ m/s}$.
   • B) Average speed is $-8.0\text{ m/s}$, and average velocity is $8.0\text{ m/s}$.
   • C) Average speed is $8.0\text{ m/s}$, and average velocity is $-8.0\text{ m/s}$.
   • D) Average speed is $8.0\text{ m/s}$, and average velocity is $0\text{ m/s}$.
10. 10.

    An object moves along a straight path with constant velocity. If its position is 18 m at t = 2.0 s and 42 m at t = 6.0 s, what is its position at t = 0 s?

    • A) −6.0 m
    • B) 0 m
    • C) 6.0 m
    • D) 12 m
11. 11.

    Which statement is always true for an object moving along a straight line with a constant velocity?

    • A) Its position remains constant as time elapses.
    • B) Its acceleration is non-zero and points in the direction of motion.
    • C) Its average velocity over any time interval equals its instantaneous velocity at any moment.
    • D) Its displacement is directly proportional to the square of the elapsed time.
12. 12.

    A particle moves along the $x$-axis with a constant velocity. If its position changes from $x = -18\text{ m}$ to $x = 42\text{ m}$ in a time interval of $12\text{ s}$, what is the velocity of the particle?

    • A) $5.0\text{ m/s}$
    • B) $2.0\text{ m/s}$
    • C) $3.5\text{ m/s}$
    • D) $-5.0\text{ m/s}$
13. 13.

    An object moves along a straight line with a constant velocity of $15\text{ m/s}$. What are the magnitude of the object's acceleration and its displacement during a time interval of $6.0\text{ s}$?

    • A) $2.5\text{ m/s}^2$ and $90\text{ m}$
    • B) $2.5\text{ m/s}^2$ and $45\text{ m}$
    • C) $0\text{ m/s}^2$ and $45\text{ m}$
    • D) $0\text{ m/s}^2$ and $90\text{ m}$

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