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# Exam 2 Review PHY 2460 - 02

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This 4 page Study Guide was uploaded by Kristianna Notetaker on Sunday October 16, 2016. The Study Guide belongs to PHY 2460 - 02 at Wright State University taught by Joseph Childers in Fall 2016. Since its upload, it has received 7 views. For similar materials see Concepts in Physics for Middle Childhood Education in Education, Physics at Wright State University.

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Date Created: 10/16/16

• Key Equations: o Δt = t 2t 1 o Δv = v -2 1 o Velocity: v = Δx/Δt o Acceleration: a = Δv/Δt o v = v 0 at § v0 = v – at § a = v – v /t 0 § t = v – 0 /a o Displacement: Δx = (v)(Δt) o Area (square)= base(b)height(h) o Area (triangle) 1/2bh o Area (trapezoid) 1/2bh (b 1 b )2 o To find position with acceleration: x = x + v0t +0½at 2 § x by itself: x = x – v t – ½at 0 0 0 2 § v0 by itself: 0 = (x –0x – ½at ) / t 2 § a by itself: a = [ 2(x –0x –0v t) ] / t 2 § t by itself: ( 0v ±√[0 – 2a(x0 – x)] ) / a o t = √( [2(x – x )0 / a ) *only when v =00 o Find position with no acceleration: x = x + v0 o Find velocity with constant acceleration: v = v + at0 o speed = |velocity| • Velocity vs. Time Graph o Straight horizontal line means “constant velocity” o straight sloped line means “constant acceleration” • Position vs. Time Graph o Straight horizontal line means “at rest” o Straight sloped line means “constant velocity” • Dot Diagrams o One dot per unit o Each dot shows position at that time o Motion diagrams include velocity arrows between dots • Change in velocity arrows for motion diagram o Have a current and previous arrow o Make a copy of previous arrow § To scale § Tail-to-tail with current arrow o The Δv arrow goes from head of copy to head of current • Finding Acceleration o Data Table Way o Acceleration Equation • “Falling” o velocity: speed is increasing; direction o acceleration: constant o position: downward; if up positive, decreasing if up negative, increasing Graph A: Graph B: Graph C: Graph D: ACCELERATION positive negative Graph C Graph A v Speeding Up Slowing Down p L Graph B Graph D V n Slowing Down Speeding Up • Displacement o Area between V. curve and t axis o Δx = (v)(Δt) Practice Problems: 1. If at 0 seconds, a truck is moving at 10mph and is at 30mph 10 seconds later, what is the acceleration of the car? 2. A car starts at 5mph and accelerates at a rate of 3mph/s. How long does it take to get at 30mph? 3. A Porsche starting at time zero is going 5mph. At 3 seconds it was traveling at 60mph. What is the acceleration of the car? 4. A taxi’s current speed is 35mph after 30 seconds and accelerating at 1mph/s. What is its origin? 5. A Lamborghini’s final velocity is 120mph. Over a 5 second period the car accelerated 20mph/s. What was the car’s initial velocity? 6. A bike starting at its garage (origin) starts at a speed of 2m/s. After 10 seconds, the bike reached the stop sign 24m away. What is the acceleration of the bike? 7. What is the displacement over 3 seconds? 10m/s 1 2 3 8. A bus is stopped at a red light. Once the light turns green, the bus accelerates at 2m/s . How long will it take the bus to reach 10 meters? 9. A tractor starts at 20mph. It accelerates at a rate of 2mph. It started at the origin and ended at 30 miles in the positive direction. How long did it take the car to get to 30 miles? 10. A bike starting at the origin is traveling at 5m/s. Accelerating at 0.2m/s , 2 where would the car be after 2 seconds? Review Question Answer Key: 1. 2 mph/s 2. 8.33 seconds 3. 18.33 mph/s 4. 5 mph 5. 20 mph 6. 2 m/s 2 7. 30 meters 8. 2.23 seconds 9. 1.402 hours 10. 10.4 meters

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