SUMMARY
The problem involves calculating the magnitude of the initial velocity of a ball thrown into the air, which lands 38 meters away after 3 seconds. The correct approach requires considering both the horizontal and vertical components of the velocity. The horizontal distance (x) is given as 38 m, and the time (t) is 3 s. To find the total initial velocity, one must calculate the horizontal velocity (vox) and the vertical velocity (voy) and then use the Pythagorean theorem to determine the magnitude of the initial velocity.
PREREQUISITES
- Understanding of projectile motion principles
- Familiarity with kinematic equations
- Knowledge of vector addition
- Ability to apply the Pythagorean theorem
NEXT STEPS
- Calculate horizontal velocity using the formula vox = x/t
- Determine vertical velocity using the equation voy = g*t, where g is the acceleration due to gravity
- Learn how to apply the Pythagorean theorem to find the resultant velocity
- Explore the effects of launch angle on projectile motion
USEFUL FOR
Students studying physics, particularly those focusing on kinematics and projectile motion, as well as educators seeking to explain these concepts effectively.