About the Time of Flight, Height & Range (3D) simulation
This 3D simulation puts time of flight, maximum height and range in one scene. Launch a ball at any speed and angle, from the ground or from a roof, on Earth, the Moon or Mars, and read the time up, the time down, the greatest height and the range together. The worked example (19.6 m/s at 30°) gives 1 s up, 2 s in the air and about 34 m.
On level ground the time up equals the time down, the range R = v² sin 2θ/g is the same for θ and 90° − θ (shown as a second path), and 45° goes furthest. Raise the launcher and these rules fail: the fall is longer than the rise, so the total time is no longer twice the time up, and the complementary angles no longer match.
Also covers: time of flight, maximum height, range of projectile, projectile from height, complementary angles same range, 45 degrees maximum range.
