Precision Airdrop Timing for Typhoon Relief

1. A View From The Top Learner-Centered Learning Environment Science and Technology 5 (Physics) Name:__________________________ Year and Section: ______ 1 234567891011121314151617

2. A very strong typhoon landed on Pangasinan and destroyed most parts of the province causing flood and other serious damages. The whole province has been put under state of calamity and the Armed Forces of the Philippines requested volunteers to help them in distributing relief goods to the typhoon victims. Mark, being a Lasallian who contributes to the society, volunteered to join the military in distributing supplies to the residents of the affected areas. He is tasked to drop the relief goods to the rooftops of the victims. When is the perfect timing Mark must release the relief goods, so that they arrive precisely at the survivors’ location if the helicopter is moving at a constant speed? 1 2 34567891011121314151617

3. Release the goods right above the location. Worksheet #1: Mind Map I have another idea:_____________________________ Release the goods in advance depending on helicopter’s speed. Release the goods in advance whatever the helicopter’s speed. When is the perfect timing Mark must release the relief goods so that they arrive precisely at the survivors’ location? Put a check mark on your choice/s. Be ready to explain your choice/s. 1234567891011121314151617

4. Worksheet #2: Thinking About Your Choice 123 4 567891011121314151617

5. Worksheet #3: Word Search Before we clarify our ideas, let us define first some terms related to projectile motion. Look for a partner, and together, find the meaning of the terms listed below using this dictionary. 1234 5 67891011121314151617

6. Worksheet #4: The Projectile After defining terms related to Projectile Motion, let us discover the three types of projectiles by viewing this Glenbrook page. This website will help us understand the nature of a projectile. Based on what you have read, what are the three types of projectiles? Give an illustration for each type. A projectile is an object upon which the only force is ___________. 12345 6 7891011121314151617

7. Worksheet #5: Galileo’s Experiment Does an object falling straight down reach the ground faster than one that also has lateral motion? Let us answer this question by performing Galileo’s Experiment. When the page pops on your screen, click Projectiles and follow the procedures. Now, crumple two sheets of pad paper. Drop the two crumpled papers from the same heights; one must be thrown straight down and the other one must be thrown horizontally. • Did you get the same result as of Galileo’s experiment? __________ • Why do you think this happened? _______________________________________________________________________________________ What did you learn from Galileo’s experiment?_______________________________________________________________________________________________ 123456 7 891011121314151617

8. Worksheet #6: The Greatest Range Let us now focus on range traveled by a projectile. Click this interactive page and answer the guide questions after filling-up the table below: Guide Questions: • To which launching angle did the greatest range occur? _____________ • What happens as you increase the launching angle? ________________________________________________________________________________________________________________________________________________________________________________________________ Set the height of the platform at zero and the launching speed at 50 m/s. Determine the range for the following projection angles: 1234567 8 91011121314151617

9. Worksheet #7: Formula Hunt Form a group of five and brainstorm to determine the formula of the quantities below based on their descriptions. 12345678 9 1011121314151617

10. Worksheet #8: Group Guided Practice With your group mates, answer the following problem. A bullet is fired from a gun mounted at an angle of 60 degrees. If the muzzle velocity is 400 m/s. Calculate: 123456789 10 11121314151617

11. Individually, answer the following problem. Show complete solution. A ball is thrown horizontally from a height of 5.50 m with an initial velocity of 25.0 m/s. • How long will it take the ball to reach the ground? • At what horizontal distance from the point of release will it strike the ground? Worksheet #9: Independent Practice 12345678910 11 121314151617

12. It is now time for us to answer the problem! Show an organized solution. The helicopter is flying horizontally at an altitude of 235 m with a speed of 72.5 m/s. When is the perfect timing Mark must release the relief goods so that they arrive precisely at the survivors’ location? Worksheet #10: A View From The Top Going back to the situation given at the beginning of this module, can you now identify the quantities needed by Mark to estimate when is the perfect timing he must release the relief goods, so that they arrive precisely at the survivors’ location ? The neededquantities are: _____________________________________________________________________ 1234567891011 12 1314151617

13. Worksheet #11: Quiz A Now that we have done some guided and independent practices, it’s time for us to have a short quiz. Ready?! Take the QUIZ now! 1.How many items were you able to answer correctly? _____ 2. Which item/s did you find difficult? Why? ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 3. What should you remember in order to answer this correctly next time? _____________________________________________________________________________________________________________________________________________________________________________________________ 123456789101112 13 14151617

14. Kevin Mirus created a quiz which we can definitely answer. Click his page and show your organized solution here. Good luck! Worksheet #12: Quiz B 12345678910111213 14 151617

15. Worksheet #13: Reflective Log Use complete sentences in answering the following questions: 1234567891011121314 15 1617

16. Final Output It is now time to create your own WORD PROBLEM. You will need a ball pen and a bond paper in writing the word problem. WHAT TO DO? Create a word problem that would reflect your daily experiences in work, home, school, etc. This word problem should have a solution that would use the skills on projectile motion you have learned from this LCLE module We will grade your output using the RUBRIC on the next page 123456789101112131415 16 17

17. We will grade your output using the rubric below. The perfect score is ten (10) points. Rubric 12345678910111213141516 17

18. Projectile Motion Quiz DIRECTION. Read each item carefully and choose the correct answer for each question. Good luck! Let’s START now!

19. Question #1 Joseph kicks a soccer ball 12 m/s at an angle of 30 degrees above the horizontal. What is the horizontal velocity component of the soccer ball? • 6.0 m/s • 10.39 m/s • 360 m/s • 720 m/s

20. Incorrect! As we have discussed, the horizontal velocity component is equal to the initial velocity multiplied to the cosine of the launching angle. You probably used the wrong formula. Go back and compute again.

21. Correct! The horizontal velocity component is equal to the initial velocity multiplied to the cosine of the launching angle. Proceed to Question #2

22. Question #2 Joseph kicks a soccer ball 12 m/s at an angle of 40 degrees above the horizontal. What is the vertical velocity component of the soccer ball? • 6.0 m/s • 10.39 m/s • 360 m/s • 720 m/s

23. Something is Wrong! Haven’t we mentioned that the vertical velocity component is equal to the initial velocity multiplied to the sine of the launching angle? You probably used the wrong formula. Go back and compute again.

24. Correct! The vertical velocity component is equal to the initial velocity multiplied to the sine of the launching angle. Proceed to Question #3

25. Question #3 Joseph kicks a soccer ball 12 m/s at an angle of 40 degrees above the horizontal. What is the ball's maximum height? • 0.61 m • 1.06 m • 1.84 m • 5.51 m

26. Very Good! The maximum height reached by the projectile is equal to the square of the vertical velocity component divided by twice acceleration due to gravity. You can now proceed to Question #4.

27. Oooppss… Something went wrong on your computation! The maximum height reached by the projectile is equal to the square of the vertical velocity component divided by twice acceleration due to gravity. Go back and try solving it again.

28. Question #4 Joseph kicks a soccer ball 12 m/s at an angle of 40 degrees above the horizontal. How long is the soccer ball in the air? • 0.61 s • 1.06 s • 1.22 s • 2.12 s

29. Excellent! Nice job! The time of flight is equal to twice the vertical velocity component divided by acceleration due to gravity. Proceed now to the last question.

30. Oh no! You probably used the wrong formula. The time of flight is equal to twice the vertical velocity component divided by acceleration due to gravity. Go back and check your calculation.

31. Question #5 Joseph kicks a soccer ball 12 m/s at an angle of 40 degrees above the horizontal. What is the ball's maximum range? • 0.732 m • 1.268 m • 7.32 m • 12.68 m

32. Yeeha! Woohoo! Always remember that the range of the projectile is equal to the horizontal velocity component times the time of flight. You have reached the end of the quiz. Congratulations! You may now go back to your LCLE module.

33. Nope! Please double check the formula you used. The range of the projectile is equal to the horizontal velocity component times the time of flight. Go back and check your computation.