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What is projectile motion?
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Projectile motion is the motion of an object that is launched into the air and is subject only to gravity and air resistance.
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What are the two components of projectile motion?
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The two components are horizontal motion and vertical motion.
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Why is the horizontal component of projectile motion constant?
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The horizontal component is constant because there are no horizontal forces acting on the projectile, assuming air resistance is negligible.
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What force affects the vertical component of projectile motion?
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Gravity affects the vertical component, causing the projectile to accelerate downward.
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How do you calculate the time of flight for a projectile launched horizontally?
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Time of flight can be calculated using the formula: \( t = \frac{2u \sin(\theta)}{g} \), where \( u \) is the initial velocity, \( \theta \) is the angle of launch, and \( g \) is the acceleration due to gravity.
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What is the trajectory of a projectile?
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The trajectory of a projectile is a parabolic path.
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How is the range of a projectile calculated?
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Range is calculated with the formula: \( R = \frac{u^2 \sin(2\theta)}{g} \).
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Does air resistance affect the motion of a projectile?
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Yes, in real-life scenarios, air resistance affects a projectile by slowing it down and altering its trajectory.
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What is the maximum height of a projectile and how is it calculated?
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The maximum height is the highest vertical position reached and is calculated by \( h = \frac{u^2 \sin^2(\theta)}{2g} \).
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What role does the angle of projection play in projectile motion?
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The angle of projection influences the range and height of the projectile; 45 degrees gives maximum range on level ground.
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How does gravity influence projectile motion?
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Gravity causes the projectile to accelerate downwards, affecting its vertical motion.
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How do you determine the initial velocity components for projectile motion?
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Initial velocity \( u \) can be split into horizontal \( u_x = u \cos(\theta) \) and vertical \( u_y = u \sin(\theta) \) components.
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What is the formula for vertical displacement in projectile motion?
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Vertical displacement \( y = u_y t + \frac{1}{2}gt^2 \).
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Can projectile motion occur in a vacuum?
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Yes, without air resistance, projectile motion would occur in a perfect vacuum, following an ideal parabolic trajectory.
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What happens to a projectile at its peak point?
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At the peak, the vertical component of the velocity is zero.
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