Mechanics: Vectors and Projectiles
Vectors and Projectiles: Audio Guided Solution
Mr. Udadi takes his three children to the park for some summertime recreation. Olive Udadi is enjoying swinging and jumping. On one jump, Olive leaves the swing at a 30° angle to the horizontal with a speed of 2.2 m/s. She lands on the ground a horizontal distance of 1.09 m from the launch location.
a. Determine the horizontal and the vertical components of the initial velocity.
b. Determine the time which Olive is in the air.
c. Determine the vertical height (relative to the landing location) from which Olive jumps from the swing.
Audio Guided Solution
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b. t = 0.57 s
c. 1.0 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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