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Velocity and Displacement

Velocity and Displacement. With constant acceleration. Another Substitution. By combining these two equations: With some substitution and algebra, we can get Equation #4 & 5:. New Equations. Now, with two equations, the problem solving process will change slightly…. Example.

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Velocity and Displacement

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  1. Velocity and Displacement With constant acceleration

  2. Another Substitution • By combining these two equations: • With some substitution and algebra, we can get Equation #4 & 5:

  3. New Equations Now, with two equations, the problem solving process will change slightly…

  4. Example • A plane starting at rest at one end of a runway undergoes a uniform acceleration of 4.8 m/s2 for 15s before takeoff. What is its speed at takeoff? How long must the runway be for the plane to be able to take off?

  5. Example • A plane starting at rest at one end of a runway undergoes a uniform acceleration of 4.8 m/s2 for 15s before takeoff. What is its speed at takeoff? How long must the runway be for the plane to be able to take off? • Givens: a = 4.8 m/s2 t = 15s vi = 0m/s vf = ? Δx = ? • Equations: • There is only enough information to use ONE of the equations at first…

  6. Example • A plane starting at rest at one end of a runway undergoes a uniform acceleration of 4.8 m/s2 for 15s before takeoff. What is its speed at takeoff? How long must the runway be for the plane to be able to take off? • Givens: a = 4.8 m/s2 t = 15s vi = 0m/s vf = ? Δx = ? • Equations: • Solve for vf first…

  7. Example • A plane starting at rest at one end of a runway undergoes a uniform acceleration of 4.8 m/s2 for 15s before takeoff. What is its speed at takeoff? How long must the runway be for the plane to be able to take off? • Givens: a = 4.8 m/s2 t = 15s vi = 0m/s vf = ? Δx = ? • Equations:

  8. Example • A plane starting at rest at one end of a runway undergoes a uniform acceleration of 4.8 m/s2 for 15s before takeoff. What is its speed at takeoff? How long must the runway be for the plane to be able to take off? • Givens: a = 4.8 m/s2 t = 15s vi = 0m/s vf = 72m/s Δx = ? • Equations:

  9. Example • A plane starting at rest at one end of a runway undergoes a uniform acceleration of 4.8 m/s2 for 15s before takeoff. What is its speed at takeoff? How long must the runway be for the plane to be able to take off? • Givens: a = 4.8 m/s2 t = 15s vi = 0m/s vf = 72m/s Δx = ? • Equations: • Now solve for Δx:

  10. Example • A plane starting at rest at one end of a runway undergoes a uniform acceleration of 4.8 m/s2 for 15s before takeoff. What is its speed at takeoff? How long must the runway be for the plane to be able to take off? • Givens: a = 4.8 m/s2 t = 15s vi = 0m/s vf = 72m/s Δx = ? • Equations: • Now solve for Δx:

  11. Practice • Pg. 55, Practice D

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