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baseball is thrown at an angle θ = 39° above the horizontal with an initial vertical velocity v0y = 14.5 m/s. Use a Cartesian coordinate system with the origin at the baseball's initial position.    Create an expression for the ball’s initial horizontal velocity component, v0x, in terms of v0y, sin(θ), and cos(θ).  v0x = Calculate the initial horizontal velocity component, v0x in m/s.  Find the ball’s initial velocity magnitude, v0 in m/s.

baseball is thrown at an angle θ = 39° above the horizontal with an initial vertical velocity v0y = 14.5 m/s. Use a Cartesian coordinate system with the origin at the baseball's initial position.    Create an expression for the ball’s initial horizontal velocity component, v0x, in terms of v0y, sin(θ), and cos(θ).  v0x = Calculate the initial horizontal velocity component, v0x in m/s.  Find the ball’s initial velocity magnitude, v0 in m/s.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A baseball is thrown at an angle θ = 39° above the horizontal with an initial vertical velocity v0y = 14.5 m/s. Use a Cartesian coordinate system with the origin at the baseball's initial position.

 

 Create an expression for the ball’s initial horizontal velocity component, v0x, in terms of v0y, sin(θ), and cos(θ). 
v0x =

Calculate the initial horizontal velocity component, v0x in m/s. 

Find the ball’s initial velocity magnitude, v0 in m/s. 


The image illustrates the concept of projectile motion. It shows a ball being projected at an initial velocity \( v_0 \) at an angle \( \theta \) above the horizontal axis. The trajectory follows a parabolic path, indicating the influence of gravity on the ball's motion. The \( x \)-axis represents horizontal displacement, while the \( y \)-axis represents vertical displacement. Key elements: - **Initial Velocity (\( v_0 \))**: Shown as a red arrow, this is the speed at which the ball is launched. - **Angle (\( \theta \))**: The angle between the initial velocity vector and the horizontal axis. - **Trajectory**: The dashed line represents the path followed by the projectile under the effects of gravity, forming a parabola. - **Axes**: The \( x \)-axis and \( y \)-axis are indicated, showing the directions of horizontal and vertical displacement, respectively. This diagram is typically used to explain the fundamental principles of kinematics involving projectiles, including calculations for range, maximum height, and time of flight.
Transcribed Image Text:The image illustrates the concept of projectile motion. It shows a ball being projected at an initial velocity \( v_0 \) at an angle \( \theta \) above the horizontal axis. The trajectory follows a parabolic path, indicating the influence of gravity on the ball's motion. The \( x \)-axis represents horizontal displacement, while the \( y \)-axis represents vertical displacement. Key elements: - **Initial Velocity (\( v_0 \))**: Shown as a red arrow, this is the speed at which the ball is launched. - **Angle (\( \theta \))**: The angle between the initial velocity vector and the horizontal axis. - **Trajectory**: The dashed line represents the path followed by the projectile under the effects of gravity, forming a parabola. - **Axes**: The \( x \)-axis and \( y \)-axis are indicated, showing the directions of horizontal and vertical displacement, respectively. This diagram is typically used to explain the fundamental principles of kinematics involving projectiles, including calculations for range, maximum height, and time of flight.
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