1. A batter hits a ball and it travels at an angle of 55 to the horizontal, at an initial speed of 35m/s. It lands on a building at a height of 5mabove the ground. How long did the ball stay in the air after getting hit by the bat?
2. A dart gun can shoot darts with a velocity of 36 m/s. A curious physics student aims the dart gun at a 60° angle above the horizontal and fires a dart. The dart reaches its maximum height and falls about halfway down when it lands in an open window 23 m above the ground.
What is the magnitude of the dart's velocity, in m/s, at the moment it enters the window?