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Distance & Displacement

Explore distance and displacement using Phiro and programming with Sequential Keys. Make Phiro move from start to end for different challenges and calculate distance and displacement for each.

Objective

By the end of this lesson, learners will

  • Understand more about distance and displacement
  • Calculate distance and displacement from start to end positions.
  • Form different patterns for given distance and displacement value.
  • Practice experimenting & iterating shapes for the given value.
Subjects

Robotics, Coding, Maths, Science.

Age

9 - 18

Duration

45 min

Robot & Accessories Needed

Phiro Unplugged, Phiro Pro

Other Tools

White paper, Pencil

Review

Intro to Phiro
Intro to Sequential Keys
User Manual

  • step1
  • step2
  • step3
  • step4
  • step5
  • step6
STEP 1

Ask

  • What are Distance and Displacement?
  • How do you measure distance and displacement?
  • How would you create different patterns for the same distance value?

Distance & Displacement

  • Distance travelled – the length of the curved line between Start and End.
  • Displacement – straight line distance between Start and End.
  • Distance refers to how much ground an object has covered during its motion.
  • Displacement refers to how far out of place an object is; it is the object's overall change in position
  • Displacement is smaller than (or) equal to Distance travelled.
  • Displacement <= Distance travelled
STEP 2

Imagine

Imagine Phiro moves in a shape from Start to End.

  • What Sequential Keys would you use for Phiro to move from Start to End?
  • How would you measure distance and displacement for this shape?
STEP 3

Plan

Explore Phiro moving with a series of arrow key taps.

  • How much distance does Phiro move for each arrow key?
  • How much was Phiro displaced?
  • Phiro moves 15 cm forward
  • Phiro moves 15 cm backward
  • Phiro turns 90° left and moves 0 cm
  • Phiro turns 90° right and moves 0 cm
STEP 4

Create

Challenge 1: Try below keys and find out Distance and Displacement values

  • 1.   Clear        
  • 2.   Forward   
  • 3.   Forward   
  • 4.   Forward   
  • 5.   Backward
  • 6.   Backward
  • 7.   Backward
  • 8.   Play          
  • Here, Phiro travelled 3 forward (3 x 15 = 45 cm) and 3 backward (3 x 15 = 45 cm).
    Total distance Travelled by Phiro (45 + 45) = 90 cm
  • Phiro reached same position as starting point.
    Total displacement by Phiro = 0 cm

Challenge 2: Try below keys and find out Distance and Displacement values

  • 1.   Clear        
  • 2.   Forward   
  • 3.   Forward   
  • 4.   Forward   
  • 5.   Backward
  • 6.   Backward
  • 7.   Play          
  • Here, Phiro travelled 3 forward (3 x 15 = 45 cm) and 2 backward (2 x 15 = 30 cm).
    Total distance Travelled by Phiro (45+30) = 75 cm
  • Distance between starting point of Phiro and ending point of Phiro is 15 cm
    Total displacement by Phiro = 15 cm

Challenge 3: Program Phiro to move from start to end and calculate Distance and Displacement value.

  • Here, Phiro travelled 10 forward (10 x 15 cm).
    Total distance Travelled by Phiro = 150 cm
  • Distance between starting point of Phiro and ending point of Phiro is (4 x 15 cm)
    (Note: Draw straight from starting point to ending point)
    Total displacement by Phiro = 60 cm

Challenge 4: Program Phiro to move from start to end and calculate Distance and Displacement value.

  • Here, Phiro travelled 20 forward (20 x 15 cm).
    Total distance Travelled by Phiro = 300 cm
  • Distance between starting point of Phiro and ending point of Phiro is (2 x 15 cm)
    (Note: Draw straight from starting point to ending point)
    Total displacement by Phiro = 30 cm

Challenge 5: Make a closed single travel shape using Phiro with Distance 150 cm and Displacement 0 cm.

Sketch more patterns with distance value 150 cm and displacement value 0 cm using Paper and pencil.

( Note: Displacement 0 means starts and end at same point)

STEP 5

Remix

Remix your Sequential code to create more complex shapes and figure out the distance & displacement values from those.

STEP 6

Share

Share what you learnt using Phiro with us using #MyPhiro and @RobotixLS and we will share it with the world.

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