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What is projectile motion?
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Projectile motion refers to the motion of an object thrown or projected into the air, subject to acceleration due to gravity only.
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What variables affect the trajectory of a projectile?
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The trajectory of a projectile is affected by initial speed, launch angle, and the acceleration due to gravity.
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Define the term 'trajectory.'
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Trajectory is the path that a projectile follows through space as a function of time.
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What is the significance of the launch angle in projectile motion?
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The launch angle determines the shape and maximum height of the projectile's trajectory.
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How does air resistance affect projectile motion?
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Air resistance slows down the projectile and can alter its trajectory and range.
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State the formula for calculating the range of a projectile.
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The range R can be calculated using R = (v^2 * sin(2θ)) / g, where v is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity.
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What happens to the horizontal component of velocity in projectile motion?
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The horizontal component of velocity remains constant if air resistance is negligible.
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Explain the vertical component of velocity in projectile motion.
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The vertical component of velocity changes due to the acceleration caused by gravity; it decreases on the way up and increases on the way down.
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What is the maximum height of a projectile?
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The maximum height of a projectile is the highest point it reaches, calculated by (v^2 * sin^2(θ)) / (2g).
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How is time of flight calculated for a projectile?
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Time of flight for a projectile launched over level ground can be calculated using T = (2v * sin(θ)) / g.
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What is the acceleration of a projectile in the horizontal direction?
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In the absence of air resistance, the horizontal acceleration of a projectile is zero.
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What effect does an increase in initial speed have on a projectile?
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An increase in initial speed increases the range and maximum height of the projectile.
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How does gravity affect projectile motion?
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Gravity causes the vertical component of velocity to change and determines the parabolic path of the projectile.
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What is the optimal launch angle for maximum range on level ground?
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The optimal launch angle for maximum range is 45 degrees.
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Why can the projectile motion be considered two independent motions?
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Projectile motion can be considered as two independent motions: horizontal motion with constant velocity and vertical motion with constant acceleration.
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