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Summary

This document provides physics review materials, including key concepts like acceleration, displacement, velocity, speed, and equations to understand motion. There are examples and problems with solutions in the text sample.

Full Transcript

Physics Review Acceleration: The rate of change of velocity Displacement: Distance between two measurements with direction OR Distance with direction. What's the difference between average velocity and average speed? - Average speed is how fast something moves, while average velocity is bo...

Physics Review Acceleration: The rate of change of velocity Displacement: Distance between two measurements with direction OR Distance with direction. What's the difference between average velocity and average speed? - Average speed is how fast something moves, while average velocity is both speed and direction. OR Speed is how fast velocity has direction. If a car accelerates from 4 m/s to 8 m/s. What is the change in velocity? - Acceleration: Vf -- Vi = 8 m/s -- 4 m/s = 4 m/s. A car travels a distance of 70 km in 2 hours. What is the average speed? - Average speed: Total distance over Total time. 70 km over 2 hours = 35 km/h. A construction worker accidentally drops a brick from a high scaffold. What is the velocity of the brick after 4 seconds? And how far does the brick fall during this time. - G:10 m/s2 Vi: 0 t: 4s 0-10(4) = -40 m/s A person can walk at a speed of 1.5 meters/second. How far will he walk in 4 minutes? - Distance: Speed x Time. Convert 4 min into sec. 4 x 60 = 240 sec x 1.5 = 360 m/s A runner finishes a 100-meter dash in 8 seconds. Determine his average speed. - Average speed: Total distance over total time. 100 meters over 8 seconds = 12.5 m/s An aircraft starts from rest and accelerates on a straight runway at a rate of 8 m/s2 for 400 meters. How much time does this take? - D= Vi t + 1 over 2 at2. D= distance vi = 0 a = 8 m/s2 400 = 1/2 x 8 x t2 -\> 400 = 4t2 -\> t2 = 400 over 4 = 100 -\> t=square root100 = 10 seconds. A test car accelerates from rest at 4 m/s2 over the course of 200 m. How fast does the car go at the end of this acceleration? - V2f = v2i + 2ad = vf ? vi = 0 a = 4 m/s2 d= 200m v2f = 2x 4 m/s2 x 200 m v2f = 8x 200 = 1600 vf = square root1600 = 40 m/s A rocket is launched vertically upwards from the ground. The rocket travels with uniform acceleration from rest. After 8 seconds the speed of the rocket is 120 m/s. Calculate the acceleration of the rocket. - Acceleration: Vf -- Vi over t. Vf=120 m/s Vi=0 m/s t=8s 120 -- 0 over 8 -\> 15 m/s2 Can displacement be negative? Explain why. - Yes, displacement can be negative because it shows the change in position. Final -- initial. If the man and the ball travels 90 min in 9 sec. What is the average speed? - Average speed = Total distance over total time. 90 m over 9 s = 10 m/s. If an object moves 5 meters to the right and 3 meters to the left what is the total distance? - Distance to the right = 5m Distance to the left 3m. 5 + 3 = 8 meters. A car travelling freeway at 6 m/s when the driver sees traffic 100m ahead he stops. What's the acceleration? - V2f = V2i + 2ad. Vf =0 Vi= 6 a =? D= 100m -\> 0=6m/s2 + 2a (100m) 0=36 m2/s2 + 200a -\> 36m2/s2 + 200a -\> 200a=-36m2/s2 a = -36m2/s2 over 200 -\> a= -0.18 m/s A car moving to the right at 20 m/s accelerates to the right at 3/ms2 for 14 meters. What is the car's velocity after the acceleration period? - V2f = V2i + 2ad -\> Vf=? Vi = 20 a= 3 d= 14m -\> 20m/s2 = 400 m2/s2 -\> 2x3m/s2 x 14m = 84 m2/s2 -\> 400m/s + 84 m/s -\> Vf= square root484m/s = 22m/s If two boats went opposite sides in 10 km/h. What will be the same? Distance, length or velocity? Velocity, because it includes speed and direction and because their speeds add up when moving in opposite directions. Multiple choice answer; A C D C C A C A A A Equations : How long = Second - Acceleration = Vf -- Vi Change in acceleration Vf - Vi How fast = Vf - Velocity = d Change in velocity : Vf -- Vi - How far = Distance; Speed x Time Only m not m/s - Displacement = Velocity x Time Meter - Speed = Total distance M/S Average speed we don't have to convert and it's m/s

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