The formula for solving for initial velocity when angles and distances are given is:
v0 = d/t * 1/sin(2θ)
Where v0 is the initial velocity, d is the distance, t is the time, and θ is the angle of launch.
The angle of launch can be determined by using the trigonometric functions of sine, cosine, and tangent. These functions can be used to find the angle based on the given distance and height of the projectile.
Yes, this formula can be used for any type of projectile motion as long as the angle and distance of the initial launch are known.
The units for initial velocity will depend on the units used for distance and time. If the distance is measured in meters and time is measured in seconds, then the units for initial velocity will be meters per second (m/s).
One limitation to using this formula is that it assumes there are no external forces acting on the projectile, such as air resistance. It also assumes a constant acceleration due to gravity and a flat surface for the projectile to travel on.