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Velocity and Displacement With constant acceleration.

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Presentation on theme: "Velocity and Displacement With constant acceleration."— Presentation transcript:

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/s 2 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/s 2 t = 15s v i = 0m/sv f = ?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/s 2 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/s 2 t = 15s v i = 0m/sv f = ?Δx = ? Equations: Solve for v f first…

7 Example A plane starting at rest at one end of a runway undergoes a uniform acceleration of 4.8 m/s 2 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/s 2 t = 15s v i = 0m/sv f = ?Δx = ? Equations:

8 Example A plane starting at rest at one end of a runway undergoes a uniform acceleration of 4.8 m/s 2 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/s 2 t = 15s v i = 0m/s v f = 72m/sΔx = ? Equations:

9 Example A plane starting at rest at one end of a runway undergoes a uniform acceleration of 4.8 m/s 2 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/s 2 t = 15s v i = 0m/s v f = 72m/sΔx = ? 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/s 2 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/s 2 t = 15s v i = 0m/s v f = 72m/sΔx = ? Equations: Now solve for Δx:

11 Practice Pg. 55, Practice D


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