Prince of Persia Turned Around

You're working for Jaffar in the newest game of Prince of Persia. The prince is coming to get the princess and you have to stop him. He's entering the castle on a horse, don't ask me why he's riding a horse... he just is!

You're standing next to the cannon and you have to check if the aim / velocity / height is ok for hitting the prince on his horse.

Your function will get four values / circumstances:

1. Velocity
2. Angle
3. Height
4. Distance to the prince

With the formula of Ballistic Trajectory you'll be able to calculate the distance the cannonball is gonna travel for impact. You don't need to apply rounding.

Computations are based on the acceleration of gravity on the earth's surface (9.81 m/s/s), atmospheric drag is neglected. The chance of hitting the prince / his horse is plus or minus 0.5m.

Examples

hitPrince(10, 10, 10, 16) ➞ true

hitPrince(20, 45, 0, 45) ➞ false

hitPrince(5, 45, 10, 6) ➞ true

Notes

• No actual princes / horses are harmed during the making of this challenge.
• All the inputs are correct. 0 > Angle < 90, and so on.
• Values will be in meters per second / degrees / meters.