- A projectile is any object…
- with an initial non-zero, horizontal velocity
- whose acceleration is due to gravity alone.
- The path of a projectile is called its trajectory.
- A projectile is said to be…
- a simple projectile if the acceleration due to gravity may be assumed constant in both magnitude and direction throughout its trajectory.
- a satellite if it follows a closed path that never brings it in contact with a celestial body (like the earth).
- a general projectile no matter where its trajectory may take it.
- The kinematic equations for a simple projectile are those of an object traveling with…
- constant horizontal velocity and
- constant vertical acceleration.
equation horizontal vertical acceleration ax = 0 ay = −g velocity-time vx = v0x vy = v0y − gt displacement-time x = x0 + v0xt y = y0 + v0yt − ½gt2 velocity-displacement vy2 = v0y2 − 2g(y − y0)
- The horizontal distance traveled by a projectile is called its range.
- A projectile launched on level ground with an initial speed v0 at an angle θ above the horizontal…
- will have the same range as a projectile launched with an initial speed v0 at 90° − θ. (Identical projectiles launched at complementary angles have the same range.)
- will have a maximum range when θ = 45°.