X = 121²-2t³ where x is in meters and t in seconds. Determine. a) The maximum positive coordinate reached by the particle and what time it is reached. b) The maximum positive velocity reached by the particle and what time it is reached. 2. During a storm, a car traveling on a level horizontal road comes upon a bridge that has washed out. The driver must get to the other side, so he decides to try leaping the river with his car. The side of the road the car is on is 34.0 m above the river, while the opposite side is only 8.2 m above the river. The river itself is a raging torrent 50.0 m wide. How fast should the car be traveling at the time it leaves the road in order just to clear the river and land safely on the opposite side? What is the speed of the car just before it lands on the other side?

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The position of a particle moving along an x axis is given by
X = 12t² - 2t3 where x is in meters and t in seconds.
Determine.
a) The maximum positive coordinate reached by the particle and what time it is reached.
b) The maximum positive velocity reached by the particle and what time it is reached.
2. During a storm, a car traveling on a level horizontal road comes upon a bridge that has washed out. The driver must get to the other side, so he decides to try leaping the river with his car. The side of the road
the car is on is 34.0 m above the river, while the opposite side is only 8.2 m above the river. The river itself is a raging torrent 50.0 m wide. How fast should the car be traveling at the time it leaves the road in
order just to clear the river and land safely on the opposite side? What is the speed of the car just before it lands on the other side?
3. A 0.150 kg particle moves along x axis according to
X = -13.00 +2.00 +4.00t² — 3.00t³ with x in meters and t in seconds.
What is the net force acting on the particle at t = 3.40 s?
4. A block of mass 3 kg slides along a floor while a force F of magnitude 12.0 N is applied to it at an upward angle 8. The coefficient of kinetic friction between the block and the floor is 0.40. We can vary 0 from 0
to 900 (the block remains on the floor). What 0 gives the maximum value of the block's acceleration magnitude a?
Transcribed Image Text:The position of a particle moving along an x axis is given by X = 12t² - 2t3 where x is in meters and t in seconds. Determine. a) The maximum positive coordinate reached by the particle and what time it is reached. b) The maximum positive velocity reached by the particle and what time it is reached. 2. During a storm, a car traveling on a level horizontal road comes upon a bridge that has washed out. The driver must get to the other side, so he decides to try leaping the river with his car. The side of the road the car is on is 34.0 m above the river, while the opposite side is only 8.2 m above the river. The river itself is a raging torrent 50.0 m wide. How fast should the car be traveling at the time it leaves the road in order just to clear the river and land safely on the opposite side? What is the speed of the car just before it lands on the other side? 3. A 0.150 kg particle moves along x axis according to X = -13.00 +2.00 +4.00t² — 3.00t³ with x in meters and t in seconds. What is the net force acting on the particle at t = 3.40 s? 4. A block of mass 3 kg slides along a floor while a force F of magnitude 12.0 N is applied to it at an upward angle 8. The coefficient of kinetic friction between the block and the floor is 0.40. We can vary 0 from 0 to 900 (the block remains on the floor). What 0 gives the maximum value of the block's acceleration magnitude a?
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