In case (a), the baseball player stands relatively stationary and throws the ball with the initial conditions shown. In case (b), he runs with speed v = 14 ft/sec as he launches the ball with the same conditions relative to himself. What is the additional range AR of the ball in case (b)? Compare the two flight times. u = 105 ft/sec e= 20° 5.0' (a) (b) Answers: AR = i ft to = sec th = sec

A golfer is attempting to reach the elevated green by hitting his ball under a low-hanging branch in one tree A, but over the top of a second tree B. If the launch speed of the golf ball is vo= 114 mi/hr, what launch angle will put the first impact point of the ball closest to the pin? How far from the pin (distance d) is this impact point? VO Answers: e= 12 yd d = i i A 17' 66 yd B www 0 yd 55' 23¹ 76 yd '12 '12 yd yd

A player throws a ball [You can assume g ≃10 m/s2; Ignore air resistance. 1ft=0.305m]    a) At what initial speed must the robot throw the ball to make the shot, given the sketch above? (b) How far in the horizontal direction from the point of release is the ball at its maximum height? (c) What is the velocity of the ball (magnitude and direction) as it goes through the hoop?

In the figure, you throw a ball toward a wall at speed 31.0 m/s and at angle 0o = 39.0° above the horizontal. The wall is distance d = 25.0 m from the release point of the ball. (a) How far above the release point does the ball hit the wall? What are the (b) horizontal and (c) vertical components of its velocity as it hits the wall? LOADOGGERANSOCIAGRAMASTERNAL

Engineering dynamics. Don't use Artificial intelligence tools.

A projectile is fired from a point 50 meter from a tall cliff at 75 m/sec and at angle of 50 degrees above the horizontal. It will strike the cliff at a point h above the cliff base. What is h? What is the final speed of the projectile when it hits the cliff in the problem above?

A golfer is attempting to reach the elevated green by hitting his ball under a low-hanging branch in one tree A, but over the top of a second tree B. If the launch speed of the golf ball is vo = 115 mi/hr, what launch angle will put the first impact point of the ball closest to the pin? How far from the pin (distance d) is this impact point? VO 0 = 14 Answers: d = yd Jud. A 23' 88.62 15.96 69 yd B 69' yd 33' 92 yd 10 10 yd yd

A ball is thrown from a height h = 15 m above the ground. When the ball leaves with initial speed of 5.0 m/s at an angle of a= 34° below the horizontal. What is the magnitude of the dlisplacement between the launching point and where the ball hits the ground ?

You are attacking your enemy’s castle and prepare your catapult to launch a large stone at the castle wall. Asyour clan’s engineer, it is up to you to calculate the correct distance from the wall to fire your catapult. Youknow that the projectile will be launched from the catapult 8.2 m above the ground at a velocity of 40 m/s atan angle of 46◦ above the horizontal, and you want to hit the castle wall 3.0 m above the ground, where theprojectile will do the most damage. How far from the wall should your catapult be positioned?

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.)