Constant velocity motion Transitional Reasoning Practice

Questions

1. 1.

   An automated transport shuttle moves in a straight line along a factory corridor from Loading Bay A to Loading Bay B. The shuttle travels the first 80 m of the route at a constant speed of 4.0 m/s and then continues along the remaining section at a different constant speed, completing that section in 30 s. If the average speed of the shuttle for the entire trip between the two bays is 5.2 m/s, what is its constant speed along the second section?

   • A) 4.8 m/s
   • B) 5.6 m/s
   • C) 6.0 m/s
   • D) 6.4 m/s
2. 2.

   A passenger walks along a straight, 120-meter moving walkway at an airport terminal at a constant walking speed relative to the belt. When walking in the direction of the walkway's motion, the passenger traverses the full 120 meters in 40 seconds relative to the terminal floor, whereas walking in the opposite direction against the walkway at the same walking speed takes 120 seconds. How much time would it take this passenger to walk the same 120-meter distance on the stationary terminal floor?

   • A) 48 s
   • B) 60 s
   • C) 80 s
   • D) 90 s
3. 3.

   Two autonomous electric vehicles, Lead-1 and Chase-2, travel along the same straight lane in the same direction at constant speeds of 18 m/s and 24 m/s, respectively. At a particular instant, Chase-2 is 90 m behind Lead-1. If both vehicles maintain their constant velocities, how many seconds will it take for Chase-2 to be exactly 30 m ahead of Lead-1?

   • A) 10 s
   • B) 15 s
   • C) 20 s
   • D) 25 s
4. 4.

   An automated conveyor belt in an assembly plant moves along a straight line at a constant speed of 1.5 m/s, and a mechanical dispenser drops an identical component onto the belt every 4.0 s. A quality inspector walks alongside the conveyor belt at a constant speed of 1.0 m/s in the direction opposite to the belt's motion. What is the time interval between successive components passing the inspector?

   • A) 2.4 s
   • B) 4.0 s
   • C) 6.0 s
   • D) 12.0 s
5. 5.

   A robotic inspection rover moves along a straight test track directly toward a flat wall at a constant speed of 12 m/s. The rover emits an ultrasonic pulse that travels through the air at a constant speed of 340 m/s toward the wall, reflects instantaneously, and is detected by the rover's sensor 0.50 s after emission. What was the distance between the rover and the wall at the moment the pulse was emitted?

   • A) 82 m
   • B) 85 m
   • C) 94 m
   • D) 88 m
6. 6.

   An automated delivery shuttle travels along a straight track connecting two storage bays separated by a distance of 480 m. The shuttle travels from Bay 1 to Bay 2 at a constant speed of 16 m/s, stops at Bay 2 for 18 s to exchange cargo, and then returns to Bay 1 at a constant speed of 15 m/s. What is the average speed of the shuttle for the entire round trip?

   • A) 12 m/s
   • B) 15.5 m/s
   • C) 6.0 m/s
   • D) 0 m/s
7. 7.

   An automated inspection probe travels along a straight pipeline with a constant velocity. A monitoring system records that the probe passes a sensor at the coordinate $x = 45\text{ m}$ at time $t = 12\text{ s}$ and reaches a second sensor at $x = 165\text{ m}$ at time $t = 28\text{ s}$. Based on these measurements, what was the position coordinate of the probe at $t = 0\text{ s}$?

   • A) $-45\text{ m}$
   • B) $-15\text{ m}$
   • C) $+15\text{ m}$
   • D) $+45\text{ m}$
8. 8.

   A straight railway tunnel has a length of 480 m. An inspection train of length 120 m traveling at a constant velocity takes 30 seconds from the moment its front enters the tunnel until its rear completely emerges from the tunnel. For how many seconds during this passage is the train completely inside the tunnel?

   • A) 12 s
   • B) 16 s
   • C) 24 s
   • D) 18 s
9. 9.

   Two automated inspection robots, X and Y, move along a straight 120-meter linear rail with constant velocities. Robot X starts from the 0-meter mark at time $t = 0$ and travels in the positive direction at a constant speed of 4 m/s. Robot Y begins its motion from the 120-meter mark at $t = 5\text{ s}$ and moves in the negative direction toward Robot X at a constant speed of 6 m/s. At which position on the rail do the two robots pass each other?

   • A) 40 m
   • B) 48 m
   • C) 54 m
   • D) 60 m

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