Projectile motion (HSC SSCE Mathematics Extension 1): Flashcards
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What does projectile motion primarily involve?
What does projectile motion primarily involve?
Object moves in two dimensions; sideways and downward.
What is the trajectory of a projectile?
What is the trajectory of a projectile?
The curved path a projectile travels under gravity.
What assumptions are made in basic projectile models?
What assumptions are made in basic projectile models?
Constant gravity, no air drag, flat Earth.
What is the formula for flight time of a projectile?
What is the formula for flight time of a projectile?
t = 2v_y / g, vertical component and gravity.
How is initial velocity broken down in projectile motion?
How is initial velocity broken down in projectile motion?
Into sideways v_x and upward v_y components.
What affects the range of a projectile?
What affects the range of a projectile?
Initial speed, angle, and height.
What is the formula for the horizontal distance R?
What is the formula for the horizontal distance R?
R = v_x * t, with v_x = v cos(θ).
Which formula gives the maximum height of a projectile?
Which formula gives the maximum height of a projectile?
H = (v_y)^2 / 2g, with v_y = v sin(θ).
What is the significance of decomposing velocity?
What is the significance of decomposing velocity?
It simplifies analysis of motion in two dimensions.
How do you determine the range using initial speed and angle?
How do you determine the range using initial speed and angle?
Use R = (v^2 sin 2θ) / g.