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a) Two cars are set to race, one can only accelerate at a rate of 2m/s...

a) Two cars are set to race, one can only accelerate at a rate of 2m/s starting from rest, and the other can only travel at a set speed of 10 m/s. How fast does each car cover 400 m? Which car would cover a distance of 400 m faster?

b) If both cars from the previous question started from the same position, at what time would they have the same displacement? What is the displacement of the vehicles?

c) A truck covers 40 m in 8.5 seconds while smoothly slowing down at a constant rate ( acceleration is constant) to a final speed of 2.8 m/s. Solve for the truck's original speed and it's acceleration.

d) You are cruising at a speed of 60 mph (26.8 m/s} when a deer appears 100 m ahead of you. What is the maximum time you have to stop and what acceleration do you need to have to avoid hitting the deer?
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