A ball is thrown from a height of 1m above the ground and follows a projectile path and goes up and comes down and is caught at 1m above the ground. One second after it is thrown, it travels at horizontal distance for 50m while it travels in the projectile path . It takes a total of 6 seconds from when it is let go to when it is caught. a) What is the total horizontal distance the ball goes? b) What is the initial velocity and the angle to the horizontal the ball is thrown at?

According the answer key the answer is 75m for a and 31.9m/s and 67 degrees for b.