Chapter 4 - Motion Frames of Reference • Is this train in motion? • How do you know? Frames of Reference • Frames of reference help us to describe the motion of something Frames of Reference • RELATIVE MOTION is movement in relation to a frame of reference. Frames of Reference Frame of Reference You – on a moving bus You – on a moving bus Object Your friend – in a nearby seat Your friend – standing at the bus stop You – standing at Your friend – on the bus stop the moving bus Relative Motion Measuring Distance • Distance is the length between 2 points • When measuring the length, be sure to include units (cm, km, m) Measuring Displacement • Displacement is direction + length between starting and ending points Displacement Along a Straight Line • A VECTOR is a quantity the describes size, length or amount, and direction – Same direction = add them – Opposite directions = subtract the difference – Example: Figure 4.2 on page 78 Displacement That Isn’t Along a Straight Path • Use graphing to help determine displacement • Displacement is always shorter than or equal to the distance QUICK LAB!!! • Using graph paper and rulers, draw a path on your paper with at least 3 turns. Measure the total distance of the path and displacement. Review! • What’s a frame of reference? • What’s is distance? • How is displacement different than distance? 4.1 Vocabulary • • • • Speed Average speed Instantaneous speed velocity Speed • SPEED is the ratio between the distance an object travels to the amount of time is takes • Example: 50 miles/hour Average Speed vs. Instantaneous Speed • Average speed = total distance/total time – Formula: s = d/t • Instantaneous Speed = how fast something is moving at any given movement – Example: a speedometer in a car measures instantaneous speed Graphing Motion • The slope of a line on a distance-time graph is speed • The steeper the slope, the faster the speed! • Check out page 83-84 for comparing graphs! Velocity • Speed in a given direction! • Velocities in the same direction are added • Velocities in opposite directions are subtracted 4.3 Vocabulary • • • • • Acceleration Free fall Constant acceleration Linear graph Nonlinear graph What is acceleration?? • Acceleration = rate at which velocity changes • Can be described as a change in speed, change in direction, or change in both • The rate of acceleration, due to gravity is 9.8m/s/s Changes in Speed • FREE FALL – movement of an object toward Earth solely because of gravity Changes In Direction • You can accelerate even if your speed is constant! • Example: the speed may be constant on a carousel, but the direction is always changing Changes in Speed and Direction • Sometimes speed and direction can change at the same time • Example: riding a roller coaster! Constant Acceleration • A steady change in velocity • The velocity of the object changes by the same amount each second Calculating Acceleration • Acceleration = change in velocity/total time – Formula = (vf – vi) t • Complete the Math Practice problems on page 346 Graphs of Accelerated Motion • The slope of a speed-time graph is acceleration • Check out pages 86 & 89 for graphing examples!