Question

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 negligable, 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 x and y directions, respectively, and use g ≈10 m/s2 for the downward acceleration due to gravity.

Answer 1

Horizontal Velocity: a horizontal line at 10 m/s

Vertical Velocity: a straight line, starting at 10 m/s at 0 sec, decreases 5 m/s every 0.5 second (or 10 m/s each 1 second).