Chapter 3 Powerpoint - AP
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The document contains sections from a physics textbook chapter on two-dimensional kinematics and projectile motion. It includes sample problems, equations, and explanations of concepts such as relative velocity. Sections cover topics like equations of motion in two dimensions, projectile motion under gravity, calculating maximum height and time of flight, and using relative velocity to solve problems involving objects in motion relative to different frames of reference.
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This document provides a summary of key concepts in two-dimensional kinematics and projectile motion. It begins by defining displacement, velocity, and acceleration in two dimensions. It then discusses solving kinematics problems by resolving vectors into horizontal and vertical components. The document also covers projectile motion, where the horizontal velocity is constant and vertical acceleration is due to gravity. It ends by discussing relative velocity problems involving adding velocities of objects moving relative to each other or to a fixed point.
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This document discusses kinematics concepts related to one-dimensional motion including displacement, velocity, acceleration, and free fall. It provides definitions and equations for these concepts and includes example problems demonstrating how to apply the kinematic equations. Specifically, it defines displacement as change in position, discusses positive and negative directions, and provides sample displacement calculations. It also introduces equations for average and instantaneous velocity and acceleration and works through examples applying these equations. Finally, it discusses free fall due to gravity near Earth's surface and works through examples calculating position, velocity, and maximum height using the kinematic equations and an acceleration due to gravity of 9.8 m/s2.
PHY300 Chapter 2 physics 5e
This document summarizes key concepts from Chapter 2 of a physics textbook, including:
1) Position, displacement, velocity, acceleration, and free fall are introduced and defined. Graphical representations and kinematic equations relating these quantities are also presented.
2) For motion with constant acceleration, equations are provided to calculate displacement, velocity, and acceleration given initial conditions and time. Free fall near the Earth's surface produces a constant downward acceleration of about 9.8 m/s2.
3) Examples apply concepts like determining stopping distances, maximum heights reached, and impact velocities to illustrate kinematic relationships for one-dimensional motion under constant acceleration.
Kinematics in Two Dimensions.pptx
A projectile is any object that continues to move under the influence of gravity alone after being thrown or projected. Projectile motion occurs when the only acceleration acting on an object is the acceleration due to gravity, directed vertically downward. The horizontal motion of a projectile is uniform, while the vertical motion is accelerated. Together, these allow the projectile to follow a parabolic trajectory under the influence of gravity.
chapter2powerpoint-090816163937-phpapp02.ppt
Kinematics deals with concepts of motion like displacement, velocity, and acceleration. Dynamics deals with forces that cause motion. Together they form the branch of mechanics. Displacement is defined as the difference between the final and initial positions. Speed is the distance traveled divided by time. Velocity is displacement divided by time. Acceleration is the rate of change of velocity with respect to time. Equations relate the kinematic variables of displacement, velocity, acceleration, time, and initial velocity. Position-time and velocity-time graphs provide a visual representation of motion and can be analyzed to determine properties like speed, direction of motion, and periods of acceleration.
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This document discusses projectile motion and provides examples to solve related problems. It begins by defining a projectile as any object projected by some means. Projectiles move in two dimensions, with a horizontal velocity component that is constant and a vertical component that changes due to gravity. The types of projectile motion covered are horizontally and vertically launched projectiles. Kinematic equations are provided to solve problems involving projectiles. Examples are worked through, such as calculating the time and distance for a kicked football. Basics of projectile motion are outlined.
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Velocity And acceleration
Brief review of velocity and acceleration along with mathematically explained feature . speed of lava bomb is also explained in these slides and the example of cap is qouted
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The document discusses motion in two and three dimensions. It defines key concepts like displacement, velocity, acceleration, and their representations as vectors. It also covers projectile motion, describing how the horizontal and vertical components are independent, and how to calculate range, time of flight and maximum height. Other topics covered include circular motion, uniform circular motion, relative motion using an intermediate frame of reference, and examples/activities calculating values for motion scenarios.
Chapter3powerpoint 090825235704-phpapp02
The document discusses kinematics and projectile motion equations in two dimensions. It provides the key equations for calculating displacement, velocity, and acceleration in the x and y directions separately. Examples are given to demonstrate solving kinematics and projectile motion problems using the appropriate equations. The maximum height, time of flight, range, and final velocity are calculated for projectiles like kicked balls or falling objects.
Sci 1010 chapter 2
This document provides an overview of key concepts in physics related to motion, including:
- Definitions of terms like speed, velocity, acceleration, displacement, and distance.
- Equations for calculating average speed, velocity, acceleration, and distance traveled with constant acceleration.
- The relationship between time and velocity/distance for objects experiencing constant acceleration due to gravity.
- Centripetal acceleration and the equation relating centripetal acceleration, velocity, and radius of circular motion.
Projektielbeweging e
1) Gravitational acceleration is the acceleration experienced by objects due to gravity in the absence of other forces like air resistance. On Earth, gravitational acceleration is approximately 9.8 m/s2 directed downward.
2) Formulas are provided for gravitational acceleration based on Newton's law of universal gravitation, as well as kinematic equations of motion involving displacement, velocity, acceleration, and time.
3) Several example problems are worked through applying the kinematic equations to situations like objects being dropped, thrown upwards, or moving upwards/downwards together to calculate values like time, velocity, displacement, and maximum height reached.
Motion
One of the major topics in physics is motion. Everything around us moves. Motion is all about forces. Force is the one that acts upon an object to move, or to change its motion.
Relative motion and relative speed
In this relative motion and relative speed concept is demonstrated with help of examples, graphically and mathematically. The concepts of Einstein and Galileo
1.13 points Previous AnswersSerPSE8 2.P.010.My Notes .docx
This document contains multiple physics problems involving concepts like kinematics, forces, gravity, and projectile motion. The problems involve calculating values like displacement, velocity, acceleration, and time for objects moving with constant or changing speed in one or two dimensions. The document tests understanding of equations of motion and how to apply concepts like initial velocity, acceleration, displacement, and time intervals to solve for unknown values.
physics1_q1_mod4_motionintwoandthreedimension_v1.pdf
The document discusses relative motion using the example of a motorcyclist riding above flat cars moving on a train track. It states that the displacement and velocity of an object relative to another reference point is the sum of the displacements and velocities relative to each reference point. Specifically:
1) The displacement and velocity of the motorcyclist relative to the Earth is equal to the displacement and velocity relative to the flat cars plus the displacement and velocity of the flat cars relative to the Earth.
2) If the motorcyclist is moving at 13 m/s relative to the flat cars and the flat cars are moving at 30 m/s relative to the Earth, then the velocity of the motorcyclist relative to the
Test1
The document contains 22 multiple choice questions testing knowledge of physics concepts like motion, forces, gravity, and kinematics. The questions assess understanding of topics such as perpetual motion machines, Galileo's experiments, velocity and acceleration of falling objects, projectile motion, and the effects of varying gravitational acceleration on mass and weight.
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College Physics 1st Edition Etkina Solutions Manual
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- 3. Kinematics in Two Dimensions Chapter 3
- 4. 3.2 Equations of Kinematics in Two Dimensions Equations of Kinematics
- 5. 3.2 Equations of Kinematics in Two Dimensions
- 6. 3.2 Equations of Kinematics in Two Dimensions
- 7. 3.2 Equations of Kinematics in Two Dimensions The x part of the motion occurs exactly as it would if the y part did not occur at all, and vice versa.
- 8. 3.2 Equations of Kinematics in Two Dimensions Example 1 A Moving Spacecraft In the x direction, the spacecraft has an initial velocity component of +22 m/s and an acceleration of +24 m/s 2 . In the y direction, the analogous quantities are +14 m/s and an acceleration of +12 m/s 2 . Find (a) x and v x , (b) y and v y , and (c) the final velocity of the spacecraft at time 7.0 s.
- 9. 3.2 Equations of Kinematics in Two Dimensions Reasoning Strategy 1. Make a drawing. 2. Decide which directions are to be called positive (+) and negative (-). 3. Write down the values that are given for any of the five kinematic variables associated with each direction. 4. Verify that the information contains values for at least three of the kinematic variables. Do this for x and y . Select the appropriate equation. 5. When the motion is divided into segments, remember that the final velocity of one segment is the initial velocity for the next. 6. Keep in mind that there may be two possible answers to a kinematics problem.
- 10. 3.2 Equations of Kinematics in Two Dimensions Example 1 A Moving Spacecraft In the x direction, the spacecraft has an initial velocity component of +22 m/s and an acceleration of +24 m/s 2 . In the y direction, the analogous quantities are +14 m/s and an acceleration of +12 m/s 2 . Find (a) x and v x , (b) y and v y , and (c) the final velocity of the spacecraft at time 7.0 s. x a x v x v ox t ? +24.0 m/s 2 ? +22 m/s 7.0 s y a y v y v oy t ? +12.0 m/s 2 ? +14 m/s 7.0 s
- 11. 3.2 Equations of Kinematics in Two Dimensions x a x v x v ox t ? +24.0 m/s 2 ? +22 m/s 7.0 s
- 12. 3.2 Equations of Kinematics in Two Dimensions y a y v y v oy t ? +12.0 m/s 2 ? +14 m/s 7.0 s
- 13. 3.2 Equations of Kinematics in Two Dimensions
- 14. 3.2 Equations of Kinematics in Two Dimensions
- 15. 3.3 Projectile Motion Under the influence of gravity alone, an object near the surface of the Earth will accelerate downwards at 9.80m/s 2 .
- 16. 3.3 Projectile Motion Example 3 A Falling Care Package The airplane is moving horizontally with a constant velocity of +115 m/s at an altitude of 1050m. Determine the time required for the care package to hit the ground.
- 17. 3.3 Projectile Motion y a y v y v oy t -1050 m -9.80 m/s 2 0 m/s ?
- 18. 3.3 Projectile Motion y a y v y v oy t -1050 m -9.80 m/s 2 0 m/s ?
- 19. 3.3 Projectile Motion Example 4 The Velocity of the Care Package What are the magnitude and direction of the final velocity of the care package?
- 20. 3.3 Projectile Motion y a y v y v oy t -1050 m -9.80 m/s 2 ? 0 m/s 14.6 s
- 21. 3.3 Projectile Motion y a y v y v oy t -1050 m -9.80 m/s 2 ? 0 m/s 14.6 s
- 22. 3.3 Projectile Motion Conceptual Example 5 I Shot a Bullet into the Air... Suppose you are driving a convertible with the top down. The car is moving to the right at constant velocity. You point a rifle straight up into the air and fire it. In the absence of air resistance, where would the bullet land – behind you, ahead of you, or in the barrel of the rifle?
- 23. 3.3 Projectile Motion Example 6 The Height of a Kickoff A placekicker kicks a football at and angle of 40.0 degrees and the initial speed of the ball is 22 m/s. Ignoring air resistance, determine the maximum height that the ball attains.
- 24. 3.3 Projectile Motion
- 25. 3.3 Projectile Motion y a y v y v oy t ? -9.80 m/s 2 0 14 m/s
- 26. 3.3 Projectile Motion y a y v y v oy t ? -9.80 m/s 2 0 14 m/s
- 27. 3.3 Projectile Motion Example 7 The Time of Flight of a Kickoff What is the time of flight between kickoff and landing?
- 28. 3.3 Projectile Motion y a y v y v oy t 0 -9.80 m/s 2 14 m/s ?
- 29. 3.3 Projectile Motion y a y v y v oy t 0 -9.80 m/s 2 14 m/s ?
- 30. 3.3 Projectile Motion Example 8 The Range of a Kickoff Calculate the range R of the projectile.
- 31. 3.3 Projectile Motion Conceptual Example 10 Two Ways to Throw a Stone From the top of a cliff, a person throws two stones. The stones have identical initial speeds, but stone 1 is thrown downward at some angle above the horizontal and stone 2 is thrown at the same angle below the horizontal. Neglecting air resistance, which stone, if either, strikes the water with greater velocity?
- 32. 3.4 Relative Velocity
- 33. 3.4 Relative Velocity Example 11 Crossing a River The engine of a boat drives it across a river that is 1800m wide. The velocity of the boat relative to the water is 4.0m/s directed perpendicular to the current. The velocity of the water relative to the shore is 2.0m/s. (a) What is the velocity of the boat relative to the shore? (b) How long does it take for the boat to cross the river?
- 34. 3.4 Relative Velocity
- 35. 3.4 Relative Velocity