Kinematics in Two or Three Dimensions

In summary, the problem involves a batter hitting a baseball at a certain initial speed and angle, and an outfielder trying to catch the ball at the same height from which it was struck. The outfielder is 85 m from the batter and the line of sight to the outfielder makes a horizontal angle of 22° with the plane of the ball's movement. The unknowns are the speed and direction the outfielder must take to catch the ball, and the angle with respect to the outfielder's line of sight to home plate.
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Homework Statement


At t = 0 a batter hits a baseball with an initial speed of 29 m/s at a 55° angle to the horizontal. An outfilder is 85 m from the batter at t = 0 and, as seen from home plate, the line of sight to the outfilder makes a horizontal angle of 22° with the plane in which the ball moves. What speed and direction must the fielder take to catch the ball at the same height from which it was struck? Give the angle with respect to the outfilder's line of sight to home plate.

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Homework Equations



The Attempt at a Solution

 
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  • #2
can you find the answer?i have the same problem.
 
  • #3
Where are you getting stuck in solving this?
 

1. What is kinematics in two or three dimensions?

Kinematics in two or three dimensions is the study of the motion of objects in two or three-dimensional space. It involves analyzing the position, velocity, and acceleration of an object as it moves through space.

2. What are the basic equations used in kinematics in two or three dimensions?

The basic equations used in kinematics in two or three dimensions are the displacement equation, velocity equation, and acceleration equation. These equations can be used to solve for the position, velocity, and acceleration of an object at any given time.

3. How is kinematics in two or three dimensions different from one-dimensional kinematics?

Kinematics in two or three dimensions differs from one-dimensional kinematics in that it takes into account the motion of objects in two or three-dimensional space. This means that there are additional variables, such as position and velocity in multiple directions, that must be considered when analyzing the motion of an object.

4. What are some real-life examples of kinematics in two or three dimensions?

Some real-life examples of kinematics in two or three dimensions include the motion of a projectile, such as a ball being thrown or a bullet being fired, the movement of an airplane through the sky, and the motion of a car driving on a curved road.

5. How is kinematics in two or three dimensions applied in other fields of science?

Kinematics in two or three dimensions is applied in other fields of science, such as engineering, physics, and astronomy. It is used to study the motion of objects in space, the behavior of fluids, and the design and function of machines and structures.

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