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Calculating with the “Big Five”

Calculating with the “Big Five”. v. d. V =. a =. t. v = v o + at x – x o = v o t + ½at² v ² = v o ² + 2a(x – x o ) x – x o = ½ ( v o – v)t x – x o = vt - ½at². t.

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Calculating with the “Big Five”

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  1. Calculating with the “Big Five” v d V = a = t v = vo+ at x – xo = vot + ½at² v² = vo² + 2a(x – xo) x – xo= ½(vo – v)t x – xo= vt - ½at² t

  2. An athlete runs exactly once around a circular track with a total length of 500 m. Find the runner's displacement for the race. • Zero • Came back to the origin

  3. A car drives in a straight line at a constant speed of 5 meters per second for 10 seconds. Find its acceleration. • Zero • Driving at a constant velocity

  4. A remote control car is driven along a straight track at 2 m/s. The child controlling the car then activates the toy's turbo mode so that, 3 seconds later, the car's speed is 3.2 m/s. Find its average acceleration. • What variables do you have & need? • v = vo + at

  5. v = vo + at

  6. A car is initially moving at 10 m/s and accelerates at a constant rate of 2 m/s2 for 4 seconds, in a straight line. How far did the car travel during this time? • What variables do you have & need? • x – xo = vot + ½at²

  7. x – xo = vot + ½at²

  8. A rock is dropped from a cliff that is 80 m above the ground. If the rock hits the ground with a velocity of 40 m/s, what acceleration did it undergo? • What variables do you have & need? • v² = vo² + 2a(x – xo)

  9. v² = vo² + 2a(x – xo) End

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