Aforce in the negative x-direction is applied for 27 ms to a 0.4 kg mass initially moving at +14 m/s in the x-direction. the force varies in magnitude and delivers an impulse with a magnitude of 32.4 n-s. what is the mass's velocity in the x-direction? give the vector component in m/s.

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.