A car and a truck are moving in opposite directions on an isolated two lane highway. At t = 0, the truck and car are at the same location (x = 0) along the x-axis. Assume the positive x-direction is rightward. See schematic below. At t=0, the truck's velocity is +10.0 m/s. The truck is speeding up with acceleration +3.0 m/s². At t = 0, the car's velocity -15.0 m/s. The car is slowing down with acceleration +5.0 m/s². Show all work clearly. (a) (20) What is the DISTANCE between the car and truck when the car momentarily comes to rest? (b) (15) What is the velocity of the truck when the car comes to rest? (c) (5) What is the speed of each relative to the other at t = 2.0 seconds? -15 m/s + 10 m/s
A car and a truck are moving in opposite directions on an isolated two lane highway. At t = 0, the truck and car are at the same location (x = 0) along the x-axis. Assume the positive x-direction is rightward. See schematic below. At t=0, the truck's velocity is +10.0 m/s. The truck is speeding up with acceleration +3.0 m/s². At t = 0, the car's velocity -15.0 m/s. The car is slowing down with acceleration +5.0 m/s². Show all work clearly. (a) (20) What is the DISTANCE between the car and truck when the car momentarily comes to rest? (b) (15) What is the velocity of the truck when the car comes to rest? (c) (5) What is the speed of each relative to the other at t = 2.0 seconds? -15 m/s + 10 m/s
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