A golfer hits a shot to a green that is elevated 3.10 m above the point where the ball is struck. The ball leaves the club at a speed of 18.2 m/s at an angle of 33 above the horizontal. It rises to its maximum height and then falls down to the green. Ignoring air resistance, find the speed of the ball just before it lands.
how long does it take to hit?
18.2 sin33° t - 4.9t^2 = 3.10
t = 1.636
so now, look at the velocities on impact.
vy = 18.2 sin33° - 9.81*1.636 = -6.137
vx = 18.2 cos33° = 15.264
so final speed is √(vx^2 + vy^2)