How Do These Equations Model Projectile Motion?

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The discussion focuses on various kinematic equations modeling projectile motion, including Y(t) = VoyT - (gt² / 2) and H = (1/2g) Vo² Sin²a, which represent the vertical position and maximum height, respectively. The equation X = 2(Vo²Sin a cos a) / g calculates the horizontal displacement over time. Participants question the interpretation of these equations, particularly regarding time at maximum height and when the projectile hits the ground. The equations are confirmed as standard kinematic formulas used in physics to analyze projectile motion. Understanding these equations is essential for accurately predicting the behavior of projectiles.
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Y(t) = VoyT - (gt² / 2 )

H = (1/2g) Vo² Sin²a

( 1/2g ) Vo²Sin2a = 0

X = 2(Vo²Sin a cos a) / g

Vy(t) = Voy - gt

0 = Voy - gt

t = Voy / g

t = VoSin a / g
 
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whatever you want them to i suppose
 
X = 2(Vo²Sin a cos a) / g Is this for the entire graph for displacement in X?

H = (1/2g) Vo² Sin²a Is this for the height of the maximum height for the graph?

( 1/2g ) Vo²Sin2a = 0 Does this find the maximum height for the graph?

t = VoSin a / g Is this for Time at V = 0? or max height?

t = 2VoSin a / g Is this the time for when the object hits the ground?
 
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