A cannonball is fired from ground level toward a hill. The cannon is aimed at angle of 37° above the horizontal, and the ball leaves the barrel at a speed of 50 m/s. The top of the hill is 40 m higher than the top of the cannon.

  1. Draw your diagram and make your lists of givens. These will apply to all parts of this problem. Therefore, you only have to give this information once.

  2. Determine the two possible values of the vertical component of the cannonball's velocity as it strikes the top of the hill.

  3. Determine the two possible values of the time interval between when the cannonball leaves the barrel and it strikes the top of the hill.

  4. Using your two values of the vertical component of velocity and the time interval between when they occur, show by direct calculation of a = Dv/Dt that the vertical component of acceleration has the expected value.