SUMMARY
The problem involves calculating the height from which a ball was thrown from a building, given an initial velocity of 8.70 m/s at an angle of 22.0° below the horizontal and a time of flight of 5.00 seconds. The initial vertical velocity must be calculated using trigonometric functions, specifically by applying the sine function to the angle. The correct formula to determine the height is yf - yi = 1/2(Vy + Vi)t, where Vy is the vertical component of the initial velocity. The correct height calculation yields a value of 166 meters after properly accounting for the angle of projection.
PREREQUISITES
- Understanding of projectile motion principles
- Basic knowledge of trigonometry, specifically sine and cosine functions
- Familiarity with kinematic equations in physics
- Ability to resolve vectors into components
NEXT STEPS
- Learn how to resolve vectors into horizontal and vertical components using trigonometric functions
- Study kinematic equations for projectile motion in detail
- Explore additional resources on projectile motion formulas available on platforms like Wikipedia
- Practice solving similar problems involving angles and initial velocities in projectile motion
USEFUL FOR
Students studying physics, educators teaching kinematics, and anyone interested in mastering projectile motion calculations.