SUMMARY
Killer whales can indeed jump heights exceeding 15 feet, as demonstrated through calculations involving their maximum speed of 13.5 m/s and a jump angle of 45 degrees. Using the formula for maximum range, the calculated maximum height achieved by the whale during a jump is approximately 9.04 meters (30 feet), which confirms the feasibility of the jump. The analysis suggests that with optimal timing and technique, a killer whale can successfully clear a 15-foot high pier.
PREREQUISITES
- Understanding of basic physics principles, particularly projectile motion.
- Familiarity with the equations of motion, including maximum range and height calculations.
- Knowledge of trigonometric functions, specifically sine and tangent.
- Basic grasp of units of measurement, particularly meters and feet.
NEXT STEPS
- Study projectile motion in physics, focusing on real-world applications.
- Learn about the biomechanics of marine mammals, particularly killer whales.
- Explore advanced physics topics, such as energy conservation in jumps.
- Investigate the environmental factors affecting marine animal behavior during jumps.
USEFUL FOR
Students studying physics, marine biologists, and anyone interested in the physical capabilities of marine mammals, particularly in relation to their jumping abilities.