Essential Equations for Projectile Motion
Learn the essential equations for solving projectile motion problems and calculating time, range, speed, and angle. Covers different trajectories and formulas.
00:00:00 Learn the essential equations for solving projectile motion problems, including displacement, velocity, and acceleration. Understand the different types of trajectories and how to apply the equations in the x and y directions.
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.
00:04:06 Learn the formulas and equations for projectile motion, including how to calculate range, time, and height. Find the speed and angle of the ball before it hits the ground.
🔢 The key equation for determining the height of a cliff is d = vt.
🌊 The range of the projectile is given by the equation range = vx * t.
🚀 To find the speed of the ball just before it hits the ground, the horizontal and vertical velocities are used.
00:08:10 Learn the formulas and equations for projectile motion. Find the time to travel from point A to point B and from point A to point C. Calculate the maximum height and range of the projectile.
📝 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.
📉 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.
🎯 The maximum height between point A and point B can be calculated using the equation h = v^2*sin^2(theta) / (2*g).
00:12:20 This video explains the formulas and equations for projectile motion, including calculating time and range for different trajectories.
📝 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.
🔢 The range of a projectile can be calculated using the equation v squared sine 2 theta divided by g.
🗻 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.
00:16:26 Learn how to calculate projectile motion using formulas and equations, including the quadratic formula and other alternative methods.
📝 To solve for time in projectile motion, use the quadratic formula: t = (-b ± √(b^2 - 4ac)) / (2a)
🔁 An alternative way to calculate time is to use the equation: t = (v * sin(theta)) / g
📏 To find the range of the ball, use the relevant equation provided.
00:20:37 Learn the formulas and equations for projectile motion, including finding range, speed, and angle of a projectile.
📝 The range of a projectile with a symmetrical trajectory can be found using the equation v_x times t.
🔢 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.
📐 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.
00:24:42 This video provides an introduction to projectile motion, including the formulas and equations. It covers different types of trajectories and the main equations needed to solve projectile motion problems.
📐 Understanding and selecting the correct equations for projectile motion problems.
🌠 Equations for a projectile falling down from a cliff and traveling horizontally.
🔀 Equations for projectiles with different trajectories and finding angles and speeds.
📝 Summary of the main equations for projectile motion problems.
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