A home run is hit in such a way that the baseball just clears a wall 10.0 m high, located 126 m from home plate. The ball is hit at an angle of 33.0 to the horizontal, and air resistance is negligible. (Assume that the ball is hit at a height of 1.0 m above the ground.) (a) Find the initial speed of the ball. 13.28 X Write the expressions for the horizontal and vertical positions as functions of time. Then use the equations to find the initial speed and the time when the baseball reaches the height of interest. m/s (b) Find the time it takes the ball to reach the wall. (c) Find the velocity components of the ball when it reaches the wall. x-component m/s y-component m/s Find the speed of the ball when it reaches the wall. m/s(a) A soccer player kicks a rock horizontally off a 34 m high cliff into a pool of water. It the player hears the sound of the splash 2.83 5 later, what was the initial speed given to the rock (in mfg)? Assume the speed of sound in air is 343 m/S. E m [b] What If? If the temperature near the cliff suddenly falls to 00C, reducing the speed of sound to 331 rn/s, what would the initial speed of the rock have to be (in rn/s] for the soccer player to hear the sound of the splash 2.83 5 after kicking the rack? Em A placekicker must kick a football from a point 36.0 m (about 40 yards) from the goal. Half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. When kicked. the ball leaves the ground with a speed of 22.2 m/s at an angle of45.0 to the horizontal. (a) By how much does the bail clear or fall short of clearing the crossbar7 (Enter a negative answer if it falls short.) :lx It may be helpful to first determine the time required for the bail to reach the goal. m In a local bar, a customer slides an empty beer mug down the counter for a refill. The height of the counter is 1.18 m. The mug slides off the counter and strikes the floor 0.20 m from the base of the counter. (a) With what velocity did the mug leave the counter? |m/s (b) What was the direction of the mug's velocity just before it hit the floor? . (below the horizontal)This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Analysis Model Tutorial A placekicker must kick a football from a point 36.0 m (about 40 yards) from the goal. Half the crowd hopes the ball will clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the ground with a speed of 20.4 m/s at an angle of 49.0 to the horizontal. (a) By how much does the ball clear or fall short of clearing the crossbar? (b) Does the ball approach the crossbar while still rising or while falling