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Acceleration & Kinematic Equations

Acceleration & Kinematic Equations. The Phantastic Phour !. What is it?. Acceleration = the rate of change of velocity over a period of time. Units = length/time 2 Has direction & magnitude (just like velocity, because…) Can a cceleration can be negative?

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Acceleration & Kinematic Equations

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  1. Acceleration & Kinematic Equations The PhantasticPhour!

  2. What is it? • Acceleration = the rate of change of velocity over a period of time. Units = length/time2 • Has direction & magnitude (just like velocity, because…) • Can acceleration can be negative? • Slowing down or changing direction • Deceleration

  3. Displacement with uniform acceleration • Displacement depends on acceleration, velocity & time • vavg = • average velocity = • (vi + vf) • Variables: v, t, x • Remember : • if starting from rest, vi = 0 • If coming to a stop, vf = 0

  4. Velocity with constant uniform acceleration • Final velocity = initial velocity + (acceleration x time interval) • = + • Variables: v– initial & final, a, t • Remember : • if starting from rest, vi = 0 • If coming to a stop, vf = 0

  5. Displacement with constant uniform acceleration • Variables: • vi, t, a, x • Remember : • if starting from rest, vi = 0

  6. Final velocity after any displacement • 2 = 2 + 2a • Variables: • a, x, vf, vi • Remember : • if starting from rest, vi = 0 • If coming to a stop, vf = 0

  7. Ms. O – How do I solve these?? • 1. List the variables in the question. • 2. Review the formulas to determine which one will be useful in your quest. • 3. Insert numbers into equation and solve. • Be sure to double-check your units! • 4. Celebrate because you rock these!

  8. In 1934, the wind speed on Mt. Washington in N.H. reached a record high. Suppose a sturdy glider is launched in this wind, so that in 45.0 s the glider reaches the speed of the wind. If the glider undergoes a constant acceleration of 2.29 m/s2, what is the wind’s speed? Assume that the glider is initially at rest. • List variables: • t = 45.0 s • a = 2.29 m/s2 • vi = 0 m/s • vf = ? Which formula? = + • = + 45.0 s • =

  9. An automobile that set the world record for acceleration increased speed from rest to 96 km/h in 3.07 s. How far had the car traveled by the time the final speed was achieved? • Variables: • Vi = 0 km/h • Vf = 96 km/h • t = 3.07 s • To hours: 8.53 x10-4 h • X = ? • Equation: • (vi + vf) • = ½ (0 km/h + 96 km/h)(8.53 x10-4h) • 0.041 km BTW: 96 km/h = 58 mph

  10. Homework – give it a shot! • Pg 53, 55, 58 – pick 3 problems from each page We know you can do it!

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