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Uniform Motion


Word problems using
     rate, time and distance.
Uniform Motion

 An object that moves at a constant
 speed or rate is said to be in
 “Uniform Motion.”
Uniform Motion

 Uniform motion problems use the
  distance formula.

R x T = D


 Rate (how fast)
 Time (how long)
 Distance (how far)
Uniform Motion

There are 3 basic types of problems:
1) Objects moving in the same direction


2) Objects moving in opposite directions


3) Objects that travel a “round-trip”
   situation
Uniform Motion
 Same           Car 1

  direction      Car 2



 Opposite
  directions

 Round-trip
Uniform Motion
   A car and a truck leave a tollbooth at the same
      time and travel to a rest area. The car travels
      15 mi/h faster than the truck and makes the trip
      in 3 hours. The truck makes the trip in 4 hours.
      What is the rate of the truck?

                R    x    T      =    D
CAR


TRUCK
Uniform Motion
   Two cars travel in opposite directions from a
    tollbooth at the same time. The average rate of
    speed of the eastbound driver is 10 mi/h faster
    than the westbound drive. If they are 200 miles
    apart after 2 hours, what is the average rate of
    speed of each car?
              R    x     T      =   D
CAR -E


CAR - W
Uniform Motion
   A car and a truck travel in opposite directions.
      The car, traveling at 60 mi/h, takes 1 hour less
      to go the same distance as the truck, which
      travels at 50 mi/h/ How long does the truck
      take to go the distance?

                R    x     T      =    D
CAR


TRUCK
Uniform Motion
 A jet leaves the base at 9:00 AM and flies at 500
  mi/h. At 10:30 AM, a second jet takes off on the
  same heading and flies at 650 mi/h. How long will it
  take the second jet to overtake the first?

                  R    x    T      =    D
  Jet 1


  Jet 2
 Assignment:
 Worksheet # 1,3,4 and show the RTD
 chart for each.

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Uniform motion day 1

  • 1. Uniform Motion Word problems using rate, time and distance.
  • 2. Uniform Motion  An object that moves at a constant speed or rate is said to be in “Uniform Motion.”
  • 3. Uniform Motion  Uniform motion problems use the distance formula. R x T = D  Rate (how fast)  Time (how long)  Distance (how far)
  • 4. Uniform Motion There are 3 basic types of problems: 1) Objects moving in the same direction 2) Objects moving in opposite directions 3) Objects that travel a “round-trip” situation
  • 5. Uniform Motion  Same Car 1 direction Car 2  Opposite directions  Round-trip
  • 6. Uniform Motion  A car and a truck leave a tollbooth at the same time and travel to a rest area. The car travels 15 mi/h faster than the truck and makes the trip in 3 hours. The truck makes the trip in 4 hours. What is the rate of the truck? R x T = D CAR TRUCK
  • 7. Uniform Motion  Two cars travel in opposite directions from a tollbooth at the same time. The average rate of speed of the eastbound driver is 10 mi/h faster than the westbound drive. If they are 200 miles apart after 2 hours, what is the average rate of speed of each car? R x T = D CAR -E CAR - W
  • 8. Uniform Motion  A car and a truck travel in opposite directions. The car, traveling at 60 mi/h, takes 1 hour less to go the same distance as the truck, which travels at 50 mi/h/ How long does the truck take to go the distance? R x T = D CAR TRUCK
  • 9. Uniform Motion  A jet leaves the base at 9:00 AM and flies at 500 mi/h. At 10:30 AM, a second jet takes off on the same heading and flies at 650 mi/h. How long will it take the second jet to overtake the first? R x T = D Jet 1 Jet 2
  • 10.  Assignment:  Worksheet # 1,3,4 and show the RTD chart for each.