An archer exerts an average horizontal force of 21N on a bow-arrow system while pulling the bow string with arrow back 0.69m from the resting point. If arrow’s mass is 0.420kg, what is the horizontal speed of the arrow when it leaves the bow?

Emmy kicks a soccer ball up at an angle of 45° over a level field. she watches the ball's trajectory and notices that it lands, two seconds after being kicked, about 20 m away to the north. assume that air resistance is negligible, and plot the horizontal and vertical components of the ball's velocity as a function of time. consider only the time that the ball is in the air, after being kicked but before landing. take "north" and "up" as the positive ‑ and ‑directions, respectively, and use ≈10 m/s2 for the downward acceleration due to gravity.