uniform motion round trip
DESCRIPTION
Uniform Motion Round Trip. Objective Solve problems involving uniform motion. Uniform Motion. Uniform motion is when an object moves without changing its speed. Solving Word Problems. 1. Draw a sketch 2. Identify unknowns 3. Assign variable 4. Make a chart - PowerPoint PPT PresentationTRANSCRIPT
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OBJECTIVESOLVE PROBLEMS
INVOLVING UNIFORM MOTION
Uniform Motion Round Trip
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Uniform Motion
Uniform motion is when an object moves without changing its speed.
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Solving Word Problems
1. Draw a sketch 2. Identify unknowns3. Assign variable4. Make a chart5. Write and solve an equation
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Equation for Motion Round Trip
Distance for object one equals the distance for object two.
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Example
A ski lift carried Maria up a slope at the rate of 6 km/h, and she skied back down parallel to the lift at 34 km/h. The round trip took 30 min.
How long did she ski?
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Draw a sketchDraw a Diagram
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Assign Variables
Let t = Maria’s skiing time
Notice that 30 min = ½ hour
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Make a ChartSKIINGSKIING RATERATE TIMETIME DISTANCEDISTANCE
UPUP
DOWNDOWN
30 t 6 30 t6
34tt34
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34 6 30t t
34 180 6t t 6t 6t
40t 40
180
40
20 14 min 4 min40 2
t
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Maria skied for 4.5 minutes downhill.She went up the lift for 30-4.5 or 25.5 minutes.How far did she ski? Oh ohSince km/h is in hours 4.5min=__hrsSmall to big divide. 4.5/60=3/40hours3/40hr x 34km/h =2 and 11/20km
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Try This
Kathy hiked up a hill at 4 km/h and back down at 6km/h. His total hiking time was 3 hours.
How long did the trip up hill take him?
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Make a ChartHIKINGHIKING RATERATE TIMETIME DISTANCEDISTANCE
UPUP
DOWNDOWN
4(3 )t4
6t6
3 t
t
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6 4(3 )t t
4t 4t10 12t
10 12
10 10
t
6 11 1 12min
5 5t hr
10 12t
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Kathy hiked down the hill for 1 hr 12 min.How long did the trip up take her? Since She went up the hill for 3 hrs - 1 hr 12min 1 hr 48 min minutes