SUMMARY
The maximum height reached by a coin tossed straight up, taking 2.75 seconds to return to its initial release point of 1.30 meters, can be calculated using kinematic equations. The initial velocity (V0) is determined to be 13.475 m/s, derived from the formula V0 = g * (t/2), where g is the acceleration due to gravity (9.81 m/s²). The maximum height is then calculated using the equation H = initial height + (V0² / (2g)), resulting in a total maximum height of approximately 5.52 meters.
PREREQUISITES
- Understanding of kinematic equations in physics
- Knowledge of gravitational acceleration (9.81 m/s²)
- Ability to manipulate algebraic equations
- Familiarity with concepts of projectile motion
NEXT STEPS
- Study kinematic equations in detail, focusing on projectile motion
- Learn how to derive initial velocity from time of flight
- Explore real-world applications of projectile motion in sports and engineering
- Practice solving similar problems involving vertical motion and maximum height
USEFUL FOR
Students studying physics, educators teaching kinematics, and anyone interested in understanding the principles of projectile motion and height calculations.