Displacement, velocity, acceleration
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This document provides information on one-dimensional motion, including displacement, average speed, average velocity, acceleration, position-time graphs, uniform acceleration, and vertical motion under gravity. It defines key equations for these topics and provides example problems and homework problems involving calculating displacement, speed, velocity, acceleration, time, and position given various starting conditions for objects undergoing one-dimensional motion.
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3. Examples include bullets fired from a moving car, balls dropped from the same height, and a ball reaching the edge of a surface at a constant horizontal velocity.
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1) Projectile motion refers to the motion of objects thrown or projected into the air at an angle. It is determined by the object's initial velocity and gravity.
2) A projectile moves horizontally with constant velocity while being accelerated vertically by gravity. This results in a curved parabolic trajectory.
3) Maximum range is achieved when the projectile is launched at an angle of 45 degrees, as the horizontal and vertical motions are balanced at that angle.
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- 7. Problem #2 A body at rest starts to move to the right with an acceleration of 2 m/s2. What is its velocity after 3 s?
- 8. Problem #3 A body moving with an initial velocity of 3 m/s accelerates at a rate of 2m/s2. What is its velocity after 4 s?
- 9. Uniform acceleration 𝑣𝑓 = 𝑣𝑖 + 𝑎𝑡 𝑑 = 𝑣𝑖 𝑡 + 1 2 𝑎𝑡2 𝑑 = 𝑣𝑓 + 𝑣𝑖 2 𝑡 𝑣𝑓 2 = 𝑣𝑖 2 + 2𝑎𝑑
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- 11. Position (m) Time (s) 0 0 0.5 0.5 1 2 3 4 5 Complete the table based on the graph. Source: https://physicsdork.files.wordpress.com/2015/09/xt-to-mm.png
- 12. Example A train starts from rest at a station and accelerates at a rate of 1.60 m/s2 for 14.0 s. It runs at a constant speed for 70.0 s and slows down at a rate of 3.50 m/s2 until it stops to the next station. Find the total displacement.
- 13. Uniform acceleration in Vertical motion 𝑣𝑓 = 𝑣𝑖 + 𝑔𝑡 𝑑 = 𝑣𝑖 𝑡 + 1 2 𝑔𝑡2 𝑑 = 𝑣𝑓 + 𝑣𝑖 2 𝑡 𝑣𝑓 2 = 𝑣𝑖 2 + 2𝑔𝑑 Where g is accelera tion due to gravity g=9.8 m/s2 Source: https://upload.wikimedia.org/wikipedia/commons/0/02/Falling_ball.jpg
- 14. Uniform acceleration in Vertical motionSW 3.1. Complete the table. Show your solution. Source: https://upload.wikimedia.org/wikipedia/commons/0/02/Falling_ball.jpg Distance (m) Time (s) 0 0 4.9 1 19.6 2 3 4 5
- 15. Uniform acceleration in Vertical motionSW 3.1. Complete the table. Show your solution Source: https://upload.wikimedia.org/wikipedia/commons/0/02/Falling_ball.jpg Velocity (m/s) Time (s) 0 0 9.8 1 19.6 2 3 4 5
- 16. Uniform acceleration in Vertical motion 𝑣𝑓 = 𝑣𝑖 + 𝑔𝑡 𝑑 = 𝑣𝑖 𝑡 + 1 2 𝑔𝑡2 𝑑 = 𝑣𝑓 + 𝑣𝑖 2 𝑡 𝑣𝑓 2 = 𝑣𝑖 2 + 2𝑔𝑑 Source: https://upload.wikimedia.org/wikipedia/commons/0/02/Falling_ball.jpg Where g is accelera tion due to gravity g=9.8 m/s2 Source: https://upload.wikimedia.org/wikipedia/commons/0/02/Falling_ball.jpg
- 17. Examplet=0, d=0 t=1s, d=4.9m Distance (m) Time (s) 0 0 4.9 1 19.6 2 44.1 3 78.4 4 122.5 5 t=2s, d=19.6m t=3s, d=44.1m t=4s,
- 18. HW 3.2 #1 An antelope moving with constant acceleration covers the distance between two points 70 m apart in 7.0 seconds. Its speed as it passes the second point is 15.0 m/s. a) what is its speed (m/s) at the first point? (5pts) b) What is its accelerationSource: http://dreamatico.com/data_images/gazelle/gazelle-2.jpg
- 19. HW 3.2 #2 A one-peso coin is dropped from the 4th floor of Maksci. It starts from rest and falls freely. Compute its position, in meters, after 1.0 s, 2.0 s, and 3.0 s. (15pts) Source: http://dagmay.kom.ph/wp-content/uploads/2012/09/piso-300x300.jpg
- 20. HW 3.2 #3 a) If a flea can jump straight up to a height of 0.440 m, what is its initial speed as it leaves the ground? (5pts) b) how long, in seconds, was it in the air? (5pts) Source: http://cdn.orkin.com/images/fleas/flea-close-up_1586x1275.jpg
Editor's Notes
- 22.5 km
- 6
- 11