Physics question- please provide explanations and all the mathematical workout.?

Question

A projectile is fired with an initial speed of 30 m/s at an angle of 60 degrees above the horizontal. The object hits the ground 7.5 s later.
-to what maximum height above the launch point does the projectile rise?
-what are the magnitude and direction of the projectile's velocity at the instant it hits the ground?
ur playing right field for the baseball team.ur team is up by one run in the bottom of the last inning of the game when a ground ball slips through the infield and comes straight toward you. As u pick up the ball 65m from home plate, you see a runner rounding third base and heading for home with tying run.u throw the ball at an angle of 30degre. above the horizonal with just the right speed so that the ball is caught by the catcher, standing on home plate, at the same height as u threw it. As u release the ball, the runner is 20m from home plate and running full speed at 8m/s.Will the ball arrive in time for your team's catcher to make the tag and win the game?-give times

Answer 1

http://hyperphysics.phy-astr.gsu.edu/hbase/traj.html#tra4

this website has all the equations you will need to solve these problems.