SUMMARY
The discussion focuses on calculating the magnitude of acceleration for a speedboat that uniformly increases its speed from 50.0 m/s to 80.0 m/s over a distance of 200 m. The relevant equation of motion used is \( v^2 = u^2 + 2as \), where \( v \) is the final velocity, \( u \) is the initial velocity, \( a \) is acceleration, and \( s \) is distance. By substituting the known values into the equation, the acceleration is determined to be 9.75 m/s². The solution confirms that it is possible to find acceleration without needing to calculate time.
PREREQUISITES
- Understanding of kinematic equations, specifically \( v^2 = u^2 + 2as \)
- Knowledge of initial and final velocity concepts
- Familiarity with uniform acceleration
- Basic algebra skills for solving equations
NEXT STEPS
- Study the derivation and applications of kinematic equations in physics
- Practice problems involving uniform acceleration and distance
- Explore real-world examples of acceleration in various contexts
- Review algebraic techniques for solving quadratic equations
USEFUL FOR
Students in physics courses, particularly those struggling with kinematics, as well as educators looking for examples of acceleration calculations without time dependency.