1-1-4 Kinematics Equations

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Presentation transcript:

1-1-4 Kinematics Equations Finishing the List 1-1-4 Kinematics Equations

Average Velocity or Speed Accelerated Motion

Constant Non-Zero Acceleration “Distance or Displacement” Equation “Timeless or Shortcut Equation” DOES NOT INCLUDE TIME!

Example A train starts from rest and leaves Greenburg station. It travels for 500. meters with an acceleration of 1.20 meters per second2. What is the train’s final speed? How long does it take the train to reach this speed? vf2 = vi2 + 2ad vf2 = 0 + 2(1.20 m/s2)(500. m) vf = 34.6 m/s vf = vi + at 34.6 m/s = 0 + (1.20 m/s2) t t = 28.8 s

Example A driver traveling at 85. miles per hour sees a police car hiding in the trees 2.00 miles ahead. He applies his brakes, decelerating at -500. miles per hour2. If the speed limit is 55 mph, will he get a ticket? What would his acceleration need to be to not get a ticket? vf2 = vi2 + 2ad vf2 = (85. mph)2 + 2(-500. mph2)(2.00 mi) vf = 72.3 mph *YES* vf2 = vi2 + 2ad (55 mph)2 = (85. mph)2 + 2a(2.00 mi) a = -1050 mph2