What is a projectile?
An object thrown into space, moving under the influence of gravity and air resistance.
What is the trajectory of a projectile?
The curved path followed by a projectile.
Examples of projectile motion in sports?
Throwing a javelin or discus.
What are the two components of projectile motion?
Horizontal and vertical motion.
What is horizontal acceleration in projectile motion?
Zero (\(a_x = 0\)).
Horizontal velocity of a projectile?
\( V_x = U \cos \theta \)
Vertical velocity of a projectile?
\( V_y = U \sin \theta \)
Vertical acceleration of a projectile?
\( a_y = -g \)
Vertical displacement equation?
\( y = ut \sin \theta - \frac{1}{2}gt^2 \)
Horizontal displacement equation?
\( x = ut \cos \theta \)
Time to reach maximum height?
\( t = \frac{U \sin \theta}{g} \)
Total time of flight?
\( T = \frac{2U \sin \theta}{g} \)
Maximum height of a projectile?
\( H = \frac{U^2 \sin^2 \theta}{2g} \)
What is the range of a projectile?
\( R = \frac{U^2 \sin 2\theta}{g} \)
When is range maximum?
When \( \theta = 45^\circ \)
Equation for vertical velocity at time t?
\( V_y = U \sin \theta - gt \)
Equation for horizontal range?
\( R = U_x \times T = U \cos \theta \times \frac{2U \sin \theta}{g} \)
How does angle affect range?
Complementary angles (like 30° & 60°) give the same range.
Formula for initial velocity components?
\( U_x = U \cos \theta,\quad U_y = U \sin \theta \)
At max height, what is the vertical velocity?
\( V_y = 0 \)
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