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#56
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Coda
Developer
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So... the car is accelerating down the hill, right? Its acceleration is the result of the sum of all forces acting on it. You know that gravity is pulling it downward, and you can calculate how much force it exerts in the direction of motion. You know how much force friction is applying in the opposite of the direction of motion (which saves you the effort of calculating it, since they didn't give you the coefficient of sliding friction). That means you can find the net force causing it to accelerate.
Once you know the net force, you can find the actual rate of acceleration.
You know the car's velocity at two points in time (one of which is v=0 at time=0). That combined with the acceleration will allow you to determine how long it takes the car to get up to that speed.
Once you know the time, you can plug it into the whole position equation, which you now have all the variables for, and find out where the car is after that amount of time.
Games by Coda (updated 4/8/2025 - New game: Marianas Miner)
Art by Coda (updated 8/25/2022 - beatBitten and All-Nighter Simulator)
Mega Man: The Light of Will (Mega Man / Green Lantern crossover: In the lead-up to the events of Mega Man 2, Dr. Wily has discovered emotional light technology. How will his creations change how humankind thinks about artificial intelligence? Sadly abandoned. Sufficient Velocity x-post)
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Posted 12-15-2016, 02:51 AM
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