Projectile+Motion


 * Time || Horizontal Velocity || Vertical Velocity ||
 * 0s || 20m/s, right || 0m/s, down ||
 * 1s || 20m/s, right || -9.8m/s, down ||
 * 2s || 20m/s, right || -19.6m/s, down ||
 * 3s || 20m/s, right || -29.4m/s, down ||
 * 4s || 20m/s, right || -39.2m/s, down ||
 * 5s || 20m/s, right || -49.0m/s, down ||
 * Horizontal Projectile Motion** - When an object is launched horizontally with a given horizontal velocity, it is a horizontal projectile. As the object falls, neglecting the effects of wind resistance, the horizontal velocity stays the same until it hits the ground (or another object.) The vertical velocity on the other hand, grows. As the object falls, the vertical velocity increases at a rate of -9.8m/s/s (gravity.)
 * //Ground to Ground Projectile Motion at an Angle -//** When an object is launched from the ground at an angle with some intitial velocity, and lands back on the same plane frome which it started, it is considered ground to ground, angle projectile motion. The horizontal velocity, neglecting the effects of gravity, stays the same throughout the flight. The vertical velocity decelerates and accelerates at a rate of -9.8m/s/s. Velocity decelerates at a rate of -9.8m/s/s on the way up, velocity is zero at maximum height, velocity accelerates at a rate of -9.8m/s/s on the way down. The time it takes the object to reach maximum height is the same as the time it takes to return to the to the plane from which it started. So the time on the way up is the same as the time on the way down.

Horizontal Velocity - There is no acceleration, so it can be measured with equation: Displacement = Time(Velocity)

Vertical Velocity - There is acceleration, so it can be measured with equation: Velocity Final = Velocity Initial + Acceleration(Time)

Off the Ground at an Angle Projectile Motion - When an object is launched at an angle from a height above the ground, it is considered off the ground projectile motion. The horizontal velocity, neglecting the effects of wind resistance, stays the same throughout the entire flight. The vertical velocity on the other hand will decelerate and accelerate at a rate of -9.8m/s/s. Vertical velocity will decelerate on the way up and accelerate on the way down. Since the object starts from a position higher than the position where it will end, the time it takes to reach maximum height, and the time it takes to reach to the ending plane is a little different. Since the object starts higher than where it will end, the time it takes to reach maximum high is smaller than the time it takes the object to reach the ending plane. ANGLES When firing a projectile the angle of projection determines its distance. There are certain angles of projection that are related in that the resulting distance of their projection is the same. The rule is that as long as the two angles of projection being compared add up to 90 degrees, the distance that each angle projects the projectile will be the same. EX. 10 and 80, 20 and 70, 30 and 60, 1 and 89.... The angle of projection that results in the farthest distance of projection is 45 degrees.