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

“Angry Birds”A 2-D kinematic projection.

Member: Vu Nguyen, Brandon McGinnis and Helina Mekuria

y

xO

Initial position:x=0 and y=0

y

xO

X

Uniform motion

Y

Accelerated motion

ACCELERATIONax = 0 ay = -g = 9.81 m/s2

VELOCITY

DISPLACEMENT

2D-Kinematic Equations

y

xO

(divide both side by t)

y

xO

ExperimentalPing-Pong Cannon

Data on the next slide

0.64, 1.530.87, 2.01

0.98, 2.31

0.98, 2.35

0.87, 2.03

0.64, 1.49

y = 2.382x - 0.023

0

0.5

1

1.5

2

2.5

0 0.2 0.4 0.6 0.8 1 1.2

Ran

ge

Sin(2θ)

Sin(2θ) vs Range

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

0.64, 1.530.87, 2.01

0.98, 2.31

0.98, 2.35

0.87, 2.03

0.64, 1.49

y = 2.382x - 0.023

0

0.5

1

1.5

2

2.5

0 0.2 0.4 0.6 0.8 1 1.2

Ran

ge

Sin(2θ)

Sin(2θ) vs Range

θ (degree) Sin(2θ) θ (degree) Sin(2θ)

20 0.64 70 0.64

30 0.87 60 0.87

40 0.98 50 0.98

0 0.00 90 0.00

45 1.00 45 1.00

•CONCLUSIONS:

•Horizontal range is greatest for the throw angle of 450

• Horizontal ranges are the same for angles θ and (900 – θ)

4.83 /70 20 respectively. How do you get them to land on the same position at the same time?

Given:

Red bird Yellow bird

Initialvelocities

Shootingangles

Ranges

Times

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

0.60 sec

Yeah!!

Thank you for watching

Any question?