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One Dimensional Kinematics Equation Examples

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Q: A car is travelling at 10m/s and accelerates at 5m/s^2 for 5 seconds. How fast is the car after accelerating?
A: v=10+5(5) = 35 m/s

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Q: A car begins at 5 m/s and accelerates constantly for 10 seconds until it reaches 55m/s. How far did the car travel in this time period?
A: x= 1/2*(5+55)10 = 300 m

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Q: A car starts out at 15 m/s and accelerates at 5m/s^2 for 10 seconds. How far did it travel in this time?
A: x = 15(10) + 1/2*(5)(10)^2 = 150+250 = 400 m

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Q: A car starts at 40 m/s and hits the brakes, accelerating him at -5m/s^2. How far does he travel before stopping?
A: 0^2=40^2+2(-5)(d); d=160 m

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