Projectile motion involves equations for displacement, velocity, and acceleration.

There are four equations for constant acceleration and one for average speed.

Displacement can be used in the x or y direction, and there are three types of projectile motion trajectories.

π’ The key equation for determining the height of a cliff is d = vt.

π The range of the projectile is given by the equation range = vx * t.

π To find the speed of the ball just before it hits the ground, the horizontal and vertical velocities are used.

π The time it takes to go from point A to point B in projectile motion is calculated using the equation t = v*sin(theta) / g.

π The total time it takes to go from point A to point C is twice the time it takes to go from A to B, so it can be calculated as 2*v*sin(theta) / g.

π― The maximum height between point A and point B can be calculated using the equation h = v^2*sin^2(theta) / (2*g).

π The time it takes for a ball to go from point A to point C in projectile motion is equal to 2v sine theta divided by g.

π’ The range of a projectile can be calculated using the equation v squared sine 2 theta divided by g.

π» To calculate the time it takes for a ball to hit the ground when launched at an angle from a cliff, the equation y final equals y initial plus v y initial t plus one half g t squared can be used.

π To solve for time in projectile motion, use the quadratic formula: t = (-b Β± β(b^2 - 4ac)) / (2a)

π An alternative way to calculate time is to use the equation: t = (v * sin(theta)) / g

π To find the range of the ball, use the relevant equation provided.

π The range of a projectile with a symmetrical trajectory can be found using the equation v_x times t.

π’ The speed of the projectile just before it hits the ground can be determined by using the same v_x value at all points and finding the final vertical velocity using the equation v_y = v_y_initial - g * t.

π To find the angle of the projectile's path, use the equation theta = inverse tangent(v_y / v_x), and describe the angle as either below the horizontal or relative to the positive x-axis.

π Understanding and selecting the correct equations for projectile motion problems.

π Equations for a projectile falling down from a cliff and traveling horizontally.

π Equations for projectiles with different trajectories and finding angles and speeds.

π Summary of the main equations for projectile motion problems.

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