1. The problem statement, all variables and given/known data two problems. i am confused about their processes. they are almost the same but some things look strange. problem 1: A cannon on a level plain is aimed 50deg above the horizontal and a shell is fired with a muzzle velocity of 360m/s toward a vertical cliff 950 m away. how far above the bottom does the shell strike the side wall of the cliff? problem 2: A world series batter hits a home run ball with a velocity of 40m/s at an angle of 26deg above the horizontal. A fielder who has a reach of 2.2m above the ground is backed up against the bleacher wall which is 120 m from home plate. The ball was 1 m above the ground when it was hit. How high above the fielders glove does the ball pass? 2. Relevant equations the kinematic equations. 3. The attempt at a solution problem 1: Vox=360cos50deg=231.403m/s Voy=360sin50deg=275.78m/s time of flight to the cliff x=Voxt 950m=231.403t t=4.1054s final vertical velocity at impact with cliff Vfy=Voy+ay*t =275.78+(-9.81)*(4.1054) =235.51m/s QUESTION: This Vfy is a positive number. Does this mean that the shell is still rising at this point? Had there not been a cliff it would have gone higher passed this point right? Height of the point of impact: Vf^2=Vo^2 +2aS Here i put Vf^2=0 because i want the displacement from the point of impact to the ground where Vf will be 0. and Vo will be the Vfy of the last step. a=-9.81m/s^2 and the answer i get is 2.827km PROBLEM 2: Vox=40cos26=35.952m/s Voy=40sin26=17.5348m/s Time of impact with bleacher wall x=Voxt t=3.3378secs final vertical velocity at impact with bleacher Vfy=Voy+ay*t =17.5348+(-9.81)(3.3378) =-15.21m/s QUESTION: I get a negative value here. Does this mean that the ball is descending? Height of the point of impact: Vf^2=Vo^2 +2aS Here i put Vf^2=0 because i want the displacement from the point of impact to the ground where Vf will be 0. and Vo will be the Vfy of the last step. a=-9.81m/s^2 and the answer i get is 11.7912m. 11.7912 - (2.2-1) = 10.5912m Can someone see if I have done these questions correctly? thank you for your time.