Mechanics: Vectors and Projectiles
Vectors and Projectiles: Audio Guided Solution
A tennis player stretches out to reach a ball that is just barely above the ground and successfully 'lobs' it over her opponent's head. The ball is hit with a speed of 18.7 m/s at an angle of 65.1 degrees.
a. Determine the time that the ball is in the air.
b. Determine the maximum height which the ball reaches.
c. Determine the distance the ball travels horizontally before landing.
Audio Guided Solution
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b. 14.7 m
c. 27.3 m
Habits of an Effective Problem Solver
- Read the problem carefully and develop a mental picture of the physical situation. If necessary, sketch a simple diagram of the physical situation to help you visualize it.
- Identify the known and unknown quantities in an organized manner. Equate given values to the symbols used to represent the corresponding quantity - e.g., vox = 12.4 m/s, voy = 0.0 m/s, dx = 32.7 m, dy = ???.
- Use physics formulas and conceptual reasoning to plot a strategy for solving for the unknown quantity.
- Identify the appropriate formula(s) to use.
- Perform substitutions and algebraic manipulations in order to solve for the unknown quantity.
Read About It!
Get more information on the topic of Vectors and Projectiles at The Physics Classroom Tutorial.
- What is a Projectile?
- Characteristics of a Projectile's Trajectory
- Horizontal and Vertical Velocity Components
- Horizontal and Vertical Displacement
- Calculating Initial Velocity Components
- Non-Horizontally Launched Projectiles Problems
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