The velocity of a particle moving along the x axis is given for t > 0 by vx = (32.0t – 2.00t3) m/s, where t is in s. What is the acceleration of the particle when (after t = 0) it achieves its maximum displacement in the positive x direction?

The velocity of a particle moving along the x axis is given for t > 0 by vx = (32.0t – 2.00t3) m/s, where t is in s. What is the acceleration of the particle when (after t = 0) it achieves its maximum displacement in the positive x direction?
Question 11 options:
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-64.0 m/s2
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zero
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128 m/s2
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32.0 m/s2
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5)
-32.0 m/s2
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Question 12 (1 point)
Question 12 Unsaved
An object moving on the x axis with a constant acceleration increases its x coordinate by 80 m in a time of 5.0 s and has a velocity of +20 m/s at the end of this time. Determine the acceleration of the object during this motion.
Question 12 options:
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-1.6 m/s2
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+6.4 m/s2
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3)
+1.6 m/s2
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4)
-2.0 m/s2
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-6.4 m/s2
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Question 13 (1 point)
Question 13 Unsaved
A particle starts from rest at xi = 0 and moves for 10 s with an acceleration of +2.0 cm/s2. For the next 20 s, the acceleration of the particle is -1.0 cm/s2. What is the position of the particle at the end of this motion?
Question 13 options:
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zero
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+3.0 m
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-1.0 m
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+2.0 m
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-3.0 m
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Question 14 (1 point)
Question 14 Unsaved
An automobile manufacturer claims that its product will, starting from rest, travel 0.40 km in 9.0 s. What is the magnitude of the constant acceleration required to do this?
Question 14 options:
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9.9 m/s2
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8.9 m/s2
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3)
6.6 m/s2
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5.6 m/s2
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5)
4.6 m/s2
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Question 15 (1 point)
Question 15 Unsaved
A proton moving along the x axis has an initial velocity of 4.0 ´ 106 m/s and a constant acceleration of 6.0 ´ 1012 m/s2. What is the velocity of the proton after it has traveled a distance of 80 cm?
Question 15 options:
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5.1 ´ 106 m/s
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6.3 ´ 106 m/s
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4.8 ´ 106 m/s
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3.9 ´ 106 m/s
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2.9 ´ 106 m/s
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Question 16 (1 point)
Question 16 Unsaved
The position of a particle moving along the x axis is given by x = 6.0t2 – 1.0t3, where x is in meters and t in seconds. What is the position of the particle when it achieves its maximum speed in the positive x direction?
Question 16 options:
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24 m
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12 m
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32 m
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16 m
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2.0 m
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Question 17 (1 point)
Question 17 Unsaved
The area under a graph of vx vs t from t = ti to t = tf represents
Question 17 options:
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xi.
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xf.
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xf – xi.
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equation(xi + xf).
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xi + xf.
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Question 18 (1 point)
Question 18 Unsaved
Two children start at one end of a street, the origin, run to the other end, then head back. On the way back Joan is ahead of Mike. Which statement is correct about the distances run and the displacements from the origin?
Question 18 options:
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Joan has run a greater distance and her displacement is greater than Mike’s.
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Mike has run a greater distance and his displacement is greater than Joan’s.
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Joan has run a greater distance, but her displacement is less than Mike’s.
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Mike has run a greater distance, but his displacement is less than Joan’s.
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5)
Mike has run a shorter distance, and his displacement is less than Joan’s.
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Question 19 (1 point)
Question 19 Unsaved
A car travels north at 30 m/s for one half hour. It then travels south at 40 m/s for 15 minutes. The total distance the car has traveled and its displacement are:
Question 19 options:
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18 km; 18 km S.
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36 km; 36 km S.
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36 km; 36 km N.
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90 km; 18 km N.
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90 km; 36 km N.
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Question 20 (1 point)
Question 20 Unsaved
The area under a graph of ax vs t from t = ti to t = tf represents
Question 20 options:
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xf – xi.
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vf – vi.
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xavg.
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vavg.
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aavg.
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Question 21 (1 point)
Question 21 Unsaved
To help Kim practice for the Special Olympics, Sally runs beside him for half the required distance. She runs the remaining distance at her regular speed and arrives 90 seconds ahead of Kim. What is the ratio of Sally’s regular speed to Kim’s speed? Use tKim for Kim’s total time.
Question 21 options:
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equation
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equation
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equation
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equation
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equation
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