Equations of Uniform Accelerated Motion AP Physics C

  • Slides: 15
Download presentation
Equations of Uniform Accelerated Motion AP Physics C Mrs. Coyle

Equations of Uniform Accelerated Motion AP Physics C Mrs. Coyle

Uniform Accelerated Motion n Motion with constant acceleration q Straight line q Same direction

Uniform Accelerated Motion n Motion with constant acceleration q Straight line q Same direction

Equations for Uniform Accelerated Motion n Velocity v= vo+ at n Position x= xo

Equations for Uniform Accelerated Motion n Velocity v= vo+ at n Position x= xo + vot + ½ at 2 n v 2 = vo 2 + 2 a(x-xo) Remember: Displacement= Dx = x-xo

More Equations of Motion for Uniform Accelerate d Motion n vavg = n Dx

More Equations of Motion for Uniform Accelerate d Motion n vavg = n Dx n ½ (vo +v) = ½ (vo+ v)t Assume that ti=0

Example of Position vs Time (Positive Acceleration) Position (m) x= xo + vot +

Example of Position vs Time (Positive Acceleration) Position (m) x= xo + vot + ½ at 2 Parabola o Time (s) Slope of Tangent at a given time= Instantaneous Velocity at that time

Example of Velocity vs Time (Positive Acceleration) v= vo+ at Velocity (m/s) o Time

Example of Velocity vs Time (Positive Acceleration) v= vo+ at Velocity (m/s) o Time (s) Slope of Line= Acceleration Area Under Line=Displacement

Example of Acceleration vs Time (Const. a) Acceleration (m/s 2) o Time (s) Area

Example of Acceleration vs Time (Const. a) Acceleration (m/s 2) o Time (s) Area under line = Change in Velocity

How do we derive Dx = ½ (vo+ v)t from the graph? Velocity (m/s)

How do we derive Dx = ½ (vo+ v)t from the graph? Velocity (m/s) v vo o t Hint: Area Under the Line=Displacement Δx Time (s)

Example of Position vs Time (Negative Acceleration) Position (m) Parabola o Time (s)

Example of Position vs Time (Negative Acceleration) Position (m) Parabola o Time (s)

Example of Velocity vs Time (Negative Acceleration) Velocity (m/s) o Time (s) Slope of

Example of Velocity vs Time (Negative Acceleration) Velocity (m/s) o Time (s) Slope of Line= Acceleration Area Under Line=Displacement

Example of Acceleration vs Time (Negative a) Acceleration (m/s 2) o Time (s) Area

Example of Acceleration vs Time (Negative a) Acceleration (m/s 2) o Time (s) Area under line = Change in Velocity

How do we derive x= xo + vot + ½ at 2 ? Hint:

How do we derive x= xo + vot + ½ at 2 ? Hint: Start with Dx = ½ (vo+ v)t and then substitute for v that v = vo+at.

How do we derive v 2 = vo 2 + 2 a(xxo)? n Hint:

How do we derive v 2 = vo 2 + 2 a(xxo)? n Hint: Start with Dx = ½ (vo+ v)t then substitute for t = (v – vo) /a

Problem 1 A ball initially stationary, accelerates at 0. 25 m/s 2 down a

Problem 1 A ball initially stationary, accelerates at 0. 25 m/s 2 down a 2 m inclined plane. It then rolls up another incline, where it comes to rest after rolling up 1 m. a) What is the speed of the ball at the bottom of the incline and how much time did this take? b) What is the acceleration along the second plane? Answer: a) 1 m/s, 4 sec, b) -0. 5 m/s 2

Problem 2 A Mustang travelling with a constant velocity of 35 m/s, passes a

Problem 2 A Mustang travelling with a constant velocity of 35 m/s, passes a stationary police car. The reaction time of the officer was 2. 5 sec and he then accelerates at 5. 0 m/s 2 to catch the Mustang. How long does it take for the police car to catch the Mustang? Answer: 15. 8 sec

Uniform Motion And Uniform Accelerated Motion All motionUniform Motion And Uniform Accelerated Motion All motion
UNIFORM CIRCULAR MOTION UNIFORM CIRCULAR MOTION Uniform circularUNIFORM CIRCULAR MOTION UNIFORM CIRCULAR MOTION Uniform circular
Uniform Accelerated Motion Kinematic Equations Kinematic Equations nUniform Accelerated Motion Kinematic Equations Kinematic Equations n
Uniform Circular Motion Circular Motion Uniform circular motionUniform Circular Motion Circular Motion Uniform circular motion
Equations of Uniform Accelerated Motion Physics Mrs CoyleEquations of Uniform Accelerated Motion Physics Mrs Coyle
Equations of Uniform Accelerated Motion Physics Mr BermanEquations of Uniform Accelerated Motion Physics Mr Berman
Equations of Uniform Accelerated Motion Physics Mrs CoyleEquations of Uniform Accelerated Motion Physics Mrs Coyle
Equations of Uniform Accelerated Motion Physics Average VelocityEquations of Uniform Accelerated Motion Physics Average Velocity
Equations of Uniform Accelerated Motion Physics Average VelocityEquations of Uniform Accelerated Motion Physics Average Velocity
Uniform Circular Motion Uniform Circular Motion Physics ofUniform Circular Motion Uniform Circular Motion Physics of
Acceleration COMPARING UNIFORM MOTION AND UNIFORMLY ACCELERATED UNIFORMAcceleration COMPARING UNIFORM MOTION AND UNIFORMLY ACCELERATED UNIFORM
Equations of Motion Equations of Motion Uniform AccelerationEquations of Motion Equations of Motion Uniform Acceleration
Chapter 3 Accelerated Motion Chapter 3 Accelerated MotionChapter 3 Accelerated Motion Chapter 3 Accelerated Motion
Accelerated Motion v Chapter 3 Accelerated Motion NonuniformAccelerated Motion v Chapter 3 Accelerated Motion Nonuniform