Distance & Motion Problems d=rt formula distance chart Copyright © 2013 by Lynda Aguirre1.

Slides:

Advertisements

Similar presentations

You WANT me to make a paper airplane??? A lesson in calculating the speed of an object.

Advertisements

Distance, Speed and Time

EXAMPLE 5 Use unit analysis with operations a. You work 4 hours and earn $36. What is your earning rate? SOLUTION 36 dollars 4 hours = 9 dollars per hour.

Motion Word Problems Students will solve motion problems by using a Guess & Check Chart and Algebra.

Time Distance Speed Calculations

Introduction to Distance-Rate-Time Applications Example 1: Jan drives south out of Denver and averages 65mph. How far is she from Denver after 3 hours.

Formula Practice Find the area for the figure below. 12 m 6 m Answer: #1.

Mathematics Compound Units - Speed.

Consecutive Integers Linear Problems Objective: Students will be able to solve consecutive integers problems.

Lesson Objective: I can…

EXAMPLE 1 Use a formula High-speed Train The Acela train travels between Boston and Washington, a distance of 457 miles. The trip takes 6.5 hours. What.

Solving Simple Problems Involving Rates I can solve problems involving Percent of Change, Distance and Interest.

EXAMPLE 1 Use a formula High-speed Train The Acela train travels between Boston and Washington, a distance of 457 miles. The trip takes 6.5 hours. What.

Speed, Distance & Time Speed, Distance, Time Calculations.

SPEED, DISTANCE AND TIME

T = 5 x = 9 x = 6/5 Solve ANSWER How long would it take you To travel 2 miles going 60mph?. 2 minutes.

1 Speed Learning Objective: To understand and use formulae involving speed. How many units of speed can you think of?

GET READY Questions will run automatically. Set 2 Question  0.35.

Chapter 11 Motion. Wrap Up F.O.R.  An object or point from which motion is determined?  The most common frame of reference?  Under what conditions.

Calculating Rates. Speeds Speeds are often described as rates. Ex: MPH = miles per hour MPS = meters per second In all the following slides we will use.

Using Formulas. Goal: 1.Plugging numbers into formulas. We use formulas to calculate values. 2.Use the formula d = rt to solve for different values.

Section 1: Describing Motion. Speed Speed is how far you travel over a period of time. Speed is expressed in the formula s=d/t (speed = distance/time).

 You can use weighted averages to solve uniform motion problems when the objects you are considering are moving at constant rates or speeds.

Motion Chapter 2. What is motion? Describing Motion.

To Start: 20 Points!! -2(4x + 3y – 4z – 11) 12(11) + 12(14) + 12(24) – 12(9) Use front-end estimation: Estimate the quotient: 29.5 ÷ x.

8-5 Motion d=rt 9P9: Interpret systems. Types of motion Problems T1) Distance covered is equal (d = d) T2) Distance covered is equal + wind or current.

Collision Course An Investigation Collision Course Two cars are on a collision course, heading straight at each other. One car is traveling at 50 miles.

Distance = Rate x Time DRT Formula. D = r x t It takes Mrs. Osthus 105 minutes to get to Sioux Falls to go Christmas shopping. If she drives an average.

Counting Method When working out time difference we will use the Counting Method. This method will always work. Example :Find the time difference between.

Distance,Rate, and Time. Think! What information would you need to know to find out how long it takes to get to your friend’s house?

Speed, Distance, Time Calculations

Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc.

1. If you travel at 10mph for 1 hour, how far do you travel?

Starter Questions 20/01/11 It took me 3 hours and 45 minutes to drive

Calculating Average Speed

Distance, Rate (speed), Time

How far did the following travel :-

Starter Questions Convert the following to minutes :-

SPEED, DISTANCE AND TIME

To Start: 20 Points!! -2(4x + 3y – 4z – 11) 12(11) + 12(14) + 12(24) – 12(9) Use front-end estimation: Estimate the quotient: 29.5 ÷ 4.83.

The 3 formulas for Speed, Time & Distance:

Motion Unit 6 Miss McDonald Science 8

Speed, Distance, Time Calculations

Solve ANSWER x = 9 ANSWER t =

D = R x T Review 180 miles 75 mph 5 hours 100 miles

Speed Distance Time. Intermediate 1. Unit 2..

A B A B C D C D A B A B C D C D A B A B C D C D A B A B C D C D

Starter Questions 24/01/11 A car travels 50km. The journey takes 30minutes. Calculate the speed in km/hr. 2. A plane flies 2000km at an average speed of.

Speed and Velocity Notes

A car travels a distance of 665miles at

Starter Questions Convert the following to decimal time :-

Solving Rational Equations by

Speed a measure of how fast something moves,

Speed, Distance, Time Calculations

Speed, Distance, Time Calculations

Starter Questions Convert the following to minutes :-

Speed, Distance, Time Calculations

Solving Rational Equations by

Speed, Distance, Time Calculations

Speed, Distance, Time Calculations

An object travels 40 miles in 2 hrs. Calculate its speed?

Speed, Distance, Time Calculations

Speed, Distance, Time Calculations Final Review

Speed Formula Quarter 4.

Speed, Distance, Time Calculations

Chapter 3: Solving Equations

Problem Solving Strategies and Models

Speed Distance Time. Intermediate 1. Unit 2..

Speed, Distance, Time Calculations

Presentation transcript:

Distance & Motion Problems d=rt formula distance chart Copyright © 2013 by Lynda Aguirre1

Distance Formula Copyright © 2013 by Lynda Aguirre2 d = r t distance = rate x time (how far) = (how fast, speed) x (how long it takes) Section A: One object traveling in one direction

Copyright © 2013 by Lynda Aguirre3 Section A: One object traveling in one direction Distance Formula a. A bird flies at a speed of 8 mph for 2 hours. How far did the bird travel? One object moving: Distance Formula: d = r t (distance = rate x time) d = (8)(2) d= 16 miles What information is given? Speed (this is the rate), r = 8 mph Travel time, t = 2 hours Distance? = unknown (How far means we don’t know the distance)

Copyright © 2013 by Lynda Aguirre4 Section A: One object traveling in one direction Distance Formula b. If a bird flies at a speed of 10 mph, how long would it take for the bird to travel a distance of 30 miles? One object moving: Distance Formula: d = r t (distance = rate x time) 30 = (10)t t = 3 hours What information is given? Speed (this is the rate), r = 10 mph Travel time, (how long=unknown time) Distance, d=30 miles

Copyright © 2013 by Lynda Aguirre5 Section A: One object traveling in one direction Distance Formula c. If a bird flies 17 miles in 3 hours, what was its speed? One object moving: Distance Formula: d = r t (distance = rate x time) 17 = r(3) r = 5.7 mph What information is given? Speed, r = unknownTravel time, t=3 hours Distance, d=17 miles 17 = 3r Round off to one decimal place r = 5.66… Rearrange: Number comes first

Copyright © 2013 by Lynda Aguirre6 Time Conversion Problems When calculating distance problems, you will often run into a situation where the time has to be converted from decimal form into the more commonly used hour/minute format. The next example demonstrates this process

Copyright © 2013 by Lynda Aguirre7 Section A: One object traveling in one direction Distance Formula b. If a bird flies at a speed of 10 mph, how long would it take for the bird to travel a distance of 12 miles? One object moving: Distance Formula: d = r t (distance = rate x time) 12 = (10)t t = 1.2 hours What information is given? Speed (this is the rate), r = 10 mph Travel time, (how long=unknown time) Distance, d=12 miles Convert to hours and minutes

Copyright © 2013 by Lynda Aguirre8 t = 1.2 hours Time Conversion Problems Time conversion: 60 minutes in an hour.2 x 60 = 12 minutes The hours are given by the number to the left of the decimal The minutes must be changed from.2 hours into minutes t = 1 hour 12 minutes

Copyright © 2013 by Lynda Aguirre9 Practice Problems 1) A bird flies 18 miles in 3 hours. How fast was the bird traveling? 2) A bird flies at a speed of 8 miles per hour for 6 hours. How far did the bird travel? 3) A bird flies 25 miles in 5 hours. How fast was the bird flying? 4) A bird flies at a speed of 6 miles per hour and travels 37 miles. How long did the trip take? Use the distance formula to solve the following problems. Convert your answers into standard units when necessary.