Projectile Motion Model  

During the study of 2-dimensional motion, students are asked to build a model of projectile motion. The comparative graph (graph 2) shows the effect of the launch angle (30, 45 or 60 degrees) on the path of the projectile. After building the basic model, students can add other factors such as drag, a wind in the horizontal direction, or an initial positive launch height.

STELLATM software is needed to view the model in Mac (hqx) format or PC format.

[Diagram Level | Equations Level | Graphs ]



Horizontal_Position(t) = Horizontal_Position(t - dt) + (Rate_of_Change_of_Horiz_Pos) * dt
INIT Horizontal_Position = 0
Rate_of_Change_of_Horiz_Pos = Init_Horizontal_Velocity
Vertical_Position(t) = Vertical_Position(t - dt) + (Rate_of_Change_of_Vert_Pos) * dt
INIT Vertical_Position = Init_Vertical_Position
Rate_of_Change_of_Vert_Pos = Vertical_Velocity
Vertical_Velocity(t) = Vertical_Velocity(t - dt) + (Rate_of_Change_of_Ver_Vel) * dt
INIT Vertical_Velocity = Init_Vertical_Velocity
Rate_of_Change_of_Ver_Vel = g
g = -9.8 {m/s^2}
Init_Horizontal_Velocity = Init_Velocity*COS(Launch_angle*PI/180)
Init_Velocity = 100 {m/s}
Init_Vertical_Position = 0
Init_Vertical_Velocity = Init_Velocity*SIN(Launch_angle*PI/180)
Launch_angle = 30
Time Specs Settings
Standard:Range: 0-30 ; dt = 0.25; Integration Method = Euler's


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