You are playing right field for the baseball team. Your team is up by one run in the bottom of the last inning of the game when a ground ball slips...

You are playing right field for the baseball team. Your 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 you pick up the ball 65 m from home plate, you see a runner rounding third base and heading for home with the tying run. You throw the ball at an angle of 30 degree above the horizontal with just the right speed so that the ball is caught by the catcher, standing on home plate, at the same height as you threw it. As you release the ball, the runner is 20.0 m from home plate and running full speed at 8.0 m/s .Will the ball arrive in time for your team's catcher to make the tag and win the game?

Distance moved by runner, s = 20 mSpeed of runner, v = 8 m/sTime taken, t = 20 / 8 = 2.5 sDistance travelled by ball, D =65 mAngle with horizontal, Ѳ = 30oLet, the speed of ball be’u’...