Each of four particles moves along an x axis. Their coordinates (in meters) as functions of time (in seconds) are given by particle 1: x(t) = 3.5 - 2.7t3 particle 2: x(t) = 3.5 + 2.7t3 particle 3: x(t) = 3.5 + 2.7t2 particle 4: x(t) = 3.5 - 3.4t - 2.7t2 For which of these particles is the velocity increasing for t> 0? A Only 1 (B) Only 2, 3, and 4 All four D Only 2 and 3 At a stop light, a truck traveling at 15 m/s passes a car as it starts from rest. The truck travels at constant velocity and the car accelerates at 3 m/s?. How much time does the car take to catch up to the truck? A 15 s B 10 s 25 s

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Chapter1: Units, Trigonometry. And Vectors
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Each of four particles moves along an x axis. Their coordinates (in meters) as functions of time (in seconds) are given by
particle 1: x(t) = 3.5 - 2.7t3
particle 2: x(t) = 3.5 + 2.7t3
particle 3: x(t) = 3.5 + 2.7t2
particle 4: x(t) = 3.5 - 3.4t - 2.7t2
For which of these particles is the velocity increasing for t> 0?
A Only 1
(B) Only 2, 3, and 4
All four
D Only 2 and 3
At a stop light, a truck traveling at 15 m/s passes a car as it starts from rest. The truck travels at constant velocity and the car
accelerates at 3 m/s². How much time does the car take to catch up to the truck?
A) 15 s
B) 10 s
25 s
D) 5 s
Transcribed Image Text:Each of four particles moves along an x axis. Their coordinates (in meters) as functions of time (in seconds) are given by particle 1: x(t) = 3.5 - 2.7t3 particle 2: x(t) = 3.5 + 2.7t3 particle 3: x(t) = 3.5 + 2.7t2 particle 4: x(t) = 3.5 - 3.4t - 2.7t2 For which of these particles is the velocity increasing for t> 0? A Only 1 (B) Only 2, 3, and 4 All four D Only 2 and 3 At a stop light, a truck traveling at 15 m/s passes a car as it starts from rest. The truck travels at constant velocity and the car accelerates at 3 m/s². How much time does the car take to catch up to the truck? A) 15 s B) 10 s 25 s D) 5 s
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