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Theta (θ) Group present:
         Physic 2010 midterm project:

                 “Angry Birds”
          A 2-D kinematic projection.




                   Member:
Vu Nguyen, Brandon McGinnis and Helina Mekuria
y
    Initial position:
     x=0 and y=0




O                       x
y




O   x
2D-Kinematic Equations

                        X                   Y
                  Uniform motion   Accelerated motion
                      ax = 0       ay = -g = 9.81 m/s2
ACCELERATION

  VELOCITY


DISPLACEMENT
y
        (divide both side by t)




O
    x
y




O
    x
Experimental
Ping-Pong Cannon




                   Data on the next slide
2.5                                Sin(2θ) vs Range
                                                                       0.87, 2.03         0.98, 2.31


         2            y = 2.382x - 0.023                                                         0.98, 2.35
                                                     0.64, 1.53
                                                                                    0.87, 2.01
        1.5
Range




                                                          0.64, 1.49
         1



        0.5



         0
              0               0.2    0.4             0.6                 0.8                1                 1.2
                                                  Sin(2θ)

                  Angle (degree)                sin(2θ)                                 Range (m)
                       20                         0.64                                     1.53
                       30                         0.87                                     2.01
                       40                         0.98                                     2.31
                       50                         0.98                                     2.35
                       60                         0.87                                     2.03
                       70                         0.64                                     1.49
2.5                                Sin(2θ) vs Range
                                                                         0.87, 2.03         0.98, 2.31


              2           y = 2.382x - 0.023                                                       0.98, 2.35
                                                          0.64, 1.53
                                                                                      0.87, 2.01
             1.5
     Range




                                                            0.64, 1.49
              1



             0.5



              0
                   0           0.2        0.4             0.6              0.8                1                 1.2
                                                       Sin(2θ)

θ (degree) Sin(2θ)               θ (degree) Sin(2θ)
                                                                •CONCLUSIONS:
20                     0.64      70         0.64
30                     0.87      60         0.87
                                                                •Horizontal range is greatest for the
                                                                throw angle of 450
40                     0.98      50         0.98
0                      0.00      90         0.00                • Horizontal ranges are the same for
                                                                angles θ and (900 – θ)
45                     1.00      45         1.00
4.83 /
70      20          respectively. How do you get them to land on the same
position at the same time?
                                                     Red bird    Yellow bird


                        Given:            Initial
                                        velocities

                                        Shooting
                                         angles

                                         Ranges


                                         Times
0.60 sec

           The yellow bird will be fired after the
            red bird 0.60 seconds, then they will
           land on the same position at the same
                            time




                                    Yeah!!
Thank you for watching

    Any question?

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Angry birds presentation

  • 1. Theta (θ) Group present: Physic 2010 midterm project: “Angry Birds” A 2-D kinematic projection. Member: Vu Nguyen, Brandon McGinnis and Helina Mekuria
  • 2. y Initial position: x=0 and y=0 O x
  • 3. y O x
  • 4. 2D-Kinematic Equations X Y Uniform motion Accelerated motion ax = 0 ay = -g = 9.81 m/s2 ACCELERATION VELOCITY DISPLACEMENT
  • 5. y (divide both side by t) O x
  • 6. y O x
  • 7. Experimental Ping-Pong Cannon Data on the next slide
  • 8. 2.5 Sin(2θ) vs Range 0.87, 2.03 0.98, 2.31 2 y = 2.382x - 0.023 0.98, 2.35 0.64, 1.53 0.87, 2.01 1.5 Range 0.64, 1.49 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 Sin(2θ) Angle (degree) sin(2θ) Range (m) 20 0.64 1.53 30 0.87 2.01 40 0.98 2.31 50 0.98 2.35 60 0.87 2.03 70 0.64 1.49
  • 9. 2.5 Sin(2θ) vs Range 0.87, 2.03 0.98, 2.31 2 y = 2.382x - 0.023 0.98, 2.35 0.64, 1.53 0.87, 2.01 1.5 Range 0.64, 1.49 1 0.5 0 0 0.2 0.4 0.6 0.8 1 1.2 Sin(2θ) θ (degree) Sin(2θ) θ (degree) Sin(2θ) •CONCLUSIONS: 20 0.64 70 0.64 30 0.87 60 0.87 •Horizontal range is greatest for the throw angle of 450 40 0.98 50 0.98 0 0.00 90 0.00 • Horizontal ranges are the same for angles θ and (900 – θ) 45 1.00 45 1.00
  • 10. 4.83 / 70 20 respectively. How do you get them to land on the same position at the same time? Red bird Yellow bird Given: Initial velocities Shooting angles Ranges Times
  • 11. 0.60 sec The yellow bird will be fired after the red bird 0.60 seconds, then they will land on the same position at the same time Yeah!!
  • 12. Thank you for watching Any question?