A batter hits a pitched ball when the center of the ball is 1.31 m above the ground.The ball leaves the bat at an angle of 45° with the ground. With that launch, the ball should have a horizontal range (returning to the launch level) of 102 m. (a) Does the ball clear a 7.30-m-high fence that is 92.0 m horizontally from the launch point? (b) At the fence, what is the distance between the fence top and the ball center?

During a baseball game the ball is hit at home base 1 meter above ground level with a bat. After having traveled a horizontal distance of 30 m, it is 20 m above ground level. An outfielder runs to meet the ball and catches it as he dives, just 10 cm from the ground. The outfielder is 80 m away from home base when he catches the ball. Assuming the path of the ball is approximately parabolic, what is the greatest height the ball reaches?

A toy cannon is located 15.0 m horizontally away from the base of a 10.5 m high building. A ball is fired from the cannon at an angle of 60.0°, and it passes some unknown distance above the top edge of the building, 1.5 s after it is being fired. (a) What should be the initial velocity of the ball so that it clears the building?(b) How far above the edge of the building is the ball when it passes over the top edge of the building?(c) Is the ball going down or still going up, at the point where it clears the wall?Justify your answer.(d) If the launch point is at the origin, what the x, y coordinates of the location at which the ball strikes the roof of the building?

(a) At what launch angle greater than54.0° does the golf ball just barely miss the top of the tree in frontof the green? Assume that the ball has an initial speed of 13.5 m>s,and that the tree is 3.00 m high and is a horizontal distance of14.0 m from the launch point. (b) Where does the ball land in thecase described in part (a)? (c) At what launch angle less than 54.0°does the golf ball just barely miss the top of the tree in front of thegreen? (d) Where does the ball land in the case described in part (c)?

An arrow was shot from a height of 1.6 5M toward a cliff of height H. it is shot with the velocity of 35 m/s at an angle of 60 degrees above the horizontal. It lands on the top edge of the cliff 3.6 s later. (A) what is the height H of the cliff in M? (B) what is the maximum height reached by the arrow along as trajectory in meters? (C) what is the arrow speed just before hitting a cliff in m/s? 

An arrow is shot into the air and reaches its maximum height of 6.00m above the horizontal from which it was shot. On its way back down it lands on a ledge 5.00m above the horizontal from which it was shot and 8.00m horizontally away from the archer. What was the arrow’s initial velocity?

In 2007, Michael Carter (U.S.) set a world record in the shot put with a throw of 24.77 m. What was the initial speed of the shot if he released it at a height of 2.10 m and threw it at an angle of 38.0° above the horizontal? (Although the maximum distance for a projectile on level ground is achieved at 45° when air resistance is neglected, the actual angle to achieve maximum range is smaller; thus, 38° will give a longer range than 45° in the shot put.)