OBJECTIVE SOLVE PROBLEMS INVOLVING UNIFORM MOTION Uniform Motion Round Trip.

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Presentation transcript:

OBJECTIVE SOLVE PROBLEMS INVOLVING UNIFORM MOTION Uniform Motion Round Trip

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 5. Write and solve an equation

Equation for Motion Round Trip Distance for object one equals the distance for object two.

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?

Draw a sketch Draw a Diagram

Assign Variables Let t = Maria’s skiing time Notice that 30 min = ½ hour

Make a ChartSKIINGRATETIMEDISTANCEUP DOWN

Maria skied for 4.5 minutes downhill. She went up the lift for or 25.5 minutes. How far did she ski? Oh oh Since km/h is in hours 4.5min=__hrs Small to big divide. 4.5/60=3/40hours 3/40hr x 34km/h =2 and 11/20km

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?

Make a ChartHIKINGRATETIMEDISTANCEUP DOWN

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