Acceleration Transitional Reasoning Download PDF

Questions

1. 1.

   A transport robot on a straight factory track operates in three sequential phases. In Phase 1, it accelerates from rest to 12 m/s over 4 s, and in Phase 2, it speeds up from 12 m/s to 20 m/s over 2 s. In Phase 3, it applies its brakes to slow down from 20 m/s to 5 m/s over 3 s while continuing forward. In which phase does the robot experience the greatest magnitude of average acceleration, and what is that value?

   • A) Phase 1, with an average acceleration magnitude of 3 m/s²
   • B) Phase 2, with an average acceleration magnitude of 4 m/s²
   • C) Phase 3, with an average acceleration magnitude of 5 m/s²
   • D) Phase 3, with an average acceleration magnitude of 15 m/s²
2. 2.

   Two automated inspection pods, X and Y, travel along parallel straight tracks in a logistics facility. At time $t = 0\text{ s}$, Pod X travels forward at 18 m/s and applies brakes to maintain a constant acceleration of $-3.0\text{ m/s}^2$, while Pod Y starts from rest and accelerates forward at $+1.5\text{ m/s}^2$. Assuming both pods maintain these accelerations, at what elapsed time do they reach the same speed, and what is that speed?

   • A) 4.0 s and 6.0 m/s
   • B) 4.0 s and 12.0 m/s
   • C) 6.0 s and 9.0 m/s
   • D) 12.0 s and 18.0 m/s
3. 3.

   An electric research rover travels in a straight line along a horizontal track during a performance test. In the first phase of the test, the rover speeds up uniformly from 4 m/s to 16 m/s over a time interval of 3 s. In the second phase, it continues forward at a constant velocity of 16 m/s for 5 s. What are the accelerations of the rover during the first phase and the second phase, respectively?

   • A) 4 m/s² during the first phase, and 0 m/s² during the second phase
   • B) 4 m/s² during the first phase, and 16 m/s² during the second phase
   • C) 12 m/s² during the first phase, and 0 m/s² during the second phase
   • D) 5.3 m/s² during the first phase, and 3.2 m/s² during the second phase
4. 4.

   An automated delivery cart travels along a straight track where movement toward the east is defined as the positive direction. At 1 s, the cart is moving east at 9 m/s, and after applying its brakes and reversing, it moves west at 3 m/s at 5 s. Assuming the acceleration is constant, what are the magnitude and direction of the cart's average acceleration during this 4 s interval?

   • A) 1.5 m/s² directed toward the east
   • B) 1.5 m/s² directed toward the west
   • C) 3.0 m/s² directed toward the west
   • D) 3.0 m/s² directed toward the east