PISA-Projectile-motion-with-angled-trajectiory.pptx

projectile

1. PISA PROJECTILE MOTION WITH AN ANGLED TRAJECTORY

2. In the historic city of Veranza , an ancient bell tower named Torre Vecchia stands tall at 50 meters. One day, a local archer, Marco, decides to test his skills by shooting an arrow at an angle of 40° above the horizontal from the top of the tower. The arrow is launched with an initial velocity of 30 m/s. As the arrow soars through the air, it follows a curved projectile path before eventually hitting the ground some distance away from the base of the tower. The townspeople watch in awe, fascinated by the graceful arc of the arrow as it cuts through the sky.

3. As the arrow moves, it experiences two types of motion: a constant horizontal velocity and a changing vertical velocity due to gravity. Marco knows that gravity will cause the arrow to decelerate as it ascends, reach a peak where the vertical velocity momentarily becomes zero, and then accelerate downward. Since he launched the arrow from an elevated position, the total flight time is longer than if it had been launched from ground level. He carefully observes, noting that the arrow lands much farther than he initially expected.

4. Ignoring air resistance, Marco wants to calculate the horizontal range of his shot, the total time the arrow spends in the air, and the velocity of the arrow just before impact. Using the principles of projectile motion, he breaks the motion into horizontal and vertical components to analyze its trajectory. By applying kinematic equations, he realizes he can predict exactly where the arrow will land, allowing him to refine his future shots. This experiment sparks curiosity in other archers, who begin testing different launch angles and velocities to see how they affect the projectile's motion.

5. Which of the following best describes the horizontal motion of the projectile? A) The horizontal velocity continuously increases. B) The horizontal velocity remains constant. C) The horizontal velocity decreases due to gravity. D) The horizontal acceleration is equal to the gravitational acceleration.

6. If Marco wants to maximize the horizontal distance the arrow travels, what should he do? A) Increase the launch angle to 90° B) Decrease the launch velocity C) Increase the launch angle to 45° D) Launch the arrow at an angle lower than 30°

7. END