Question

In: Physics

The left-field wall at a baseball park is 320 feet down the third-base line from home​...

The left-field wall at a baseball park is 320 feet down the third-base line from home​ plate; the wall itself is 38 feet high. A batted ball must clear the wall to be a home run. Suppose a ball leaves the​ bat, 3 feet off the​ ground, at an angle of 45degrees. Use gequals32 ​ft/sec squared as the acceleration due to gravity and ignore any air resistance. Complete parts​ (a) through​ (d). (a) Find parametric equations that model the position of the ball as a function of time. (b) What is the maximum height of the ball if it leaves the bat with a speed of 120 miles per​ hour? Give your answer in feet. ​(c) What is the​ ball's horizontal distance from home plate at its maximum​ height? Give your answer in feet. ​(d) If the ball is hit straight down the third-base​ line, will it clear the​ wall? If it​ does, by how many feet does it clear the​ wall?

Solutions

Expert Solution


Related Solutions

during a baseball game, a batter hits a foul ball down the left field foul line....
during a baseball game, a batter hits a foul ball down the left field foul line. while being hit 0.762 m above the ground, the ball was given a velocity of 33.53 m/s at an angle of 55 degrees above the ground. 5 seconds after being hit, the ball was seen clearing a 11.28 m high wall in left field. a) what is the horizontal distance from home plate to the left wall? b) what is the vertical distance of...
A ladder 25 feet long is leaning against the wall of a house. The base of...
A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. How fast is the top of the ladder moving down the wall when the base is 15 feet from the wall? Consider the triangle formed by the side of the house, the ladder, and the ground. Find the rate at which the area of the triangle is changing...
A home run is hit in such a way that the baseball just clears a wall...
A home run is hit in such a way that the baseball just clears a wall 10 m high, located 128 m from home plate. The ball is hit at an angle of 37° 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. (b) Find the time it takes the ball to reach the wall. (c) Find the...
A home run is hit in such a way that the baseball just clears a wall...
A home run is hit in such a way that the baseball just clears a wall 14 m high, located 120 m from home plate. The ball is hit at an angle of 37° 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. -answer in m/s (b) Find the time it takes the ball to reach the wall....
A home run is hit in such a way that the baseball just clears a wall...
A home run is hit in such a way that the baseball just clears a wall 14.0 m high, located 122 m from home plate. The ball is hit at an angle of 37.0° to the horizontal, and air resistance is negligible. (Assume that the ball is hit at a height of 1.0 m above the ground.) Find the velocity components of the ball when it reaches the wall. x - component y- component
A home run is hit in such a way that the baseball just clears a wall...
A home run is hit in such a way that the baseball just clears a wall 14.0 m high, located 128 m from home plate. The ball is hit at an angle of 33.0
A home run is hit in such a way that the baseball just clears a wall...
A home run is hit in such a way that the baseball just clears a wall 21.0 m high, located 130 m from home plate. The ball is hit at an angle of 35.0° to the horizontal, and air resistance is negligible. Find initial speed of the ball. (Assume the ball is hit at a height of 1.00 m above the ground.)Find the speed of the ball when it reaches the wall.
A home run is hit in such a way that the baseball just clears a wall...
A home run is hit in such a way that the baseball just clears a wall 16 m high, located 122 m from home plate. The ball is hit at an angle of 33° to the horizontal, and air resistance is negligible. (Assume that the ball is hit at a height of 1.0 m above the ground.) What is the initial speed of the ball? How long does it take the ball to reach the wall? What is the velocity...
A baseball player wants to know his average time running from home to first base. He...
A baseball player wants to know his average time running from home to first base. He records the following five times in seconds: 5.1 4.9 5.1 5.2 5.0 Construct a 95% confidence interval for the mean number of seconds it takes for this baseball player to run from home to first. Interpret this interval within the context of the problem.
Caretakers, a local nonprofit organization, operates the concession stands for the Newland Baseball Park, home of...
Caretakers, a local nonprofit organization, operates the concession stands for the Newland Baseball Park, home of the Newland Nuggets (a minor league baseball team). Doing so permits Caretakers to raise funds to operate its soup kitchen. Caretakers is concerned with waste in the concessions area. Too many precooked hot dogs are left over after a game. Heinz Canine, Caretakers’ research analyst, feels that hot dog consumption (and other concession sales) can be predicted by the number of advance sale tickets...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT