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Summary

This document details examples of speed and velocity calculations. It includes formulas and shows how to calculate speed from distance and time, and velocity from positions and time. Also, how to graph motion.

Full Transcript

What is the difference between speed and velocity? Section 11.5 speed (s) a scalar quantity indicating the rate at which an object moves s= ! " EXAMPLE 11-2 Calculating Speed While on vacation, you travel by car from your home to Florida. You travel 1232 km in 14 h. What is your average spee...

What is the difference between speed and velocity? Section 11.5 speed (s) a scalar quantity indicating the rate at which an object moves s= ! " EXAMPLE 11-2 Calculating Speed While on vacation, you travel by car from your home to Florida. You travel 1232 km in 14 h. What is your average speed? Write what you know. d = 1232 km t = 14 h s=? Write the formula and solve for the unknown. s= ! " p. 254 EXAMPLE 11-2 Calculating Speed While on vacation, you travel by car from your home to Florida. You travel 1232 km in 14 h. What is your average speed? Plug in known values and evaluate. s= = &'(' )* &+ , -- )* , Average speed = 88 kph p. 254 velocity (v) a vector quantity indicating the rate at which an object’s position changes v= Δx Δt v= xf / xi tf / ti EXAMPLE 11-3 Calculating Velocity from Positions and Time A horse moves from 10 m east of the gate to 45 m east of the gate in 15 s. What is the average velocity of the horse? Write what you know, including a sketch. xi = 10 m east xf = 45 m east Δt = 15 s v=? p. 255 EXAMPLE 11-3 Calculating Velocity from Positions and Time A horse moves from 10 m east of the gate to 45 m east of the gate in 15 s. What is the average velocity of the horse? Write the formula and solve for the unknown. v = Δx = xf / xi Δt Δt Plug in known values and evaluate. v = 45 m east15− s10 m east east = 35 m 15 s = 2.3 m east s p. 255 EXAMPLE 11-4 Calculating Position from Velocity and Time A ship was 185 km north of the port at noon and moves with an average velocity of 17 kph south. Where will the ship be at 3:30 p.m. (3.5 h later)? Write what you know, including a sketch. xi = 185 km north v = 17 kph south Δt = 3.5 h xf = ? p. 255 EXAMPLE 11-4 Calculating Position from Velocity and Time Write the formula and solve for the unknown. v = Δx = xf / xi Δt Δt / xi v Δt =( xfΔt )Δt v Δt + xi = xf – xi + xi. xf = v Δt + xi p. 255 EXAMPLE 11-4 Calculating Position from Velocity and Time Plug in known values and evaluate. xf = (–17 )* , )(3.5 h) + 185 km = –59.5 km + 185 km = 126 km north of the port p. 255 How do you graph motion? Section 11.6 Position vs. Time Graph Consider a truck that starts at position 0 m and drives at a constant velocity for 5 seconds and ends up at position 40 m. Velocity vs. Time Graph Consider a truck that starts at position 0 m and drives at a constant velocity for 5 seconds and ends up at position 40 m.

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