Learner-Centered Learning EnvironmentScience and Technology 5 (Physics)

Name:__________________________Year and Section: ______

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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 3 4 5 6 7 8 9 10 11 12 13 14 15

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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.

Release the goods in advance

whatever the helicopter’s

speed.

Release the goods

right above the location.

I have another

idea:_____________________

________Release the

goods in advance

depending on helicopter’s

speed.

Worksheet #1: Mind Map

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Worksheet #2: Thinking About Your Choice

Why did you choose that

option?___________________________________________________

_____________________________

What factors should Mark consider in

dropping the relief goods?

Why?____________________________________________________________________

____________

Draw the helicopter (according to your answer) when the goods are to be dropped off. And using broken lines, draw how you

visualize the path of the goods going to the flood victims.

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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.

Projectile

Trajectory

Range

Altitude

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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 ___________.

Worksheet #4: The Projectile

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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.

1. Did you get the same result as of Galileo’s experiment? __________

2. Why do you think this happened? _______________________________________________________________________________________

What did you learn from Galileo’s experiment? _______________________________________________________________________________________________

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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:

Set the height of the platform at zero and the launching speed at 50 m/s. Determine the range for the following projection angles:

Launching Angle

Range

15O

30O

45O

60O

75O

Guide Questions:

1. To which launching angle did the greatest range occur? _____________

2. What happens as you increase the launching angle? ________________________________________________________________________________________________________________________________________________________________________________________________

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Worksheet #7: Formula Hunt

Form a group of five and brainstorm to determine the formula of the quantities below based on their descriptions.

Quantity Description Formula

Vertical velocity component (Vy)

This is equal to the initial velocity multiplied to the sine of the launching angle.

Horizontal velocity component (Vx)

This is equal to the initial velocity multiplied to the cosine of the launching angle.

Maximum Height Reached (dy)

This is equal to the square of the vertical velocity component divided by twice acceleration due to gravity.

Time of Flight (t) This is equal to twice the vertical velocity component divided by acceleration due to gravity.

Range (R) This is equal to the horizontal velocity component times the time of flight. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

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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:

Vertical velocity component

Horizontal velocity component

Maximum height reached

Time of flight

Range

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Worksheet #9: Independent Practice

Individually, answer the following problem. Show complete solution.

A ball is thrown horizontally from a height of 5.50 m with a velocity of 25.0 m/s.

a. How long will it take the ball to reach the ground?

b. At what horizontal distance from the point of release will it strike the ground?

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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 needed quantities are:

_____________________________________________________________________

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?

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Worksheet #11: Quiz A

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? _____________________________________________________________________________________________________________________________________________________________________________________________

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!

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Worksheet #12: Quiz B

Kevin Mirus created a quiz which we can definitely answer. Click his page and show your organized solution here. Good luck!

a. b. c. d.

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Worksheet #13: Reflective Log

Use complete sentences in answering the following questions:

Which of the quantities learned in this module is the most difficult to solve? Why?______________________________________________________________________________________________________________________________________________________________________________________________________

How can I make the solving easier next time?__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

What is the benefit of knowing how to solve quantities involving projectile motion?______________________________________________________________________________________________________________________________________________________________________________________________________

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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.

We will grade your output using the

RUBRIC on the next page

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

Final Output

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

Criteria for Scoring

Excellent Developing Beginning

The Word Problem

The problem can be solved using skills related to

projectile motion and the problem

reflects daily experiences.

(3 - 4)

The problem can be solved using skills related to

projectile motion but the problem doesn’t reflect

daily experiences. (1 -

2)

The problem cannot be solved

using skills related to projectile

motion . (0)

The Solution

The solution is step-by-step and

the final answer is correct.(3 - 4)

The solution is not step-by-step

but the final answer is

correct. (1 - 2)

The solution is not step-by-step

and the final answer is wrong.

(0)

GrammarThe sentences are easily understood and there are no

grammatical errors. (2)

The sentences can be

understood but with some

grammatical errors. (1)

The sentences cannot be

understood at all. (0)

Projectile Motion Quiz

DIRECTION. Read each item carefully and choose the correct answer for each question. Good luck!

Let’s START now!

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?

a. 6.0 m/s

b. 10.39 m/s

c. 360 m/s

d. 720 m/s

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.

Correct!

The horizontal velocity component is equal to the initial velocity multiplied to the cosine of the launching angle.

Proceed to Question #2

Question #2

Joseph kicks a soccer ball 12 m/s at an angle of 30 degrees above the horizontal.

What is the vertical velocity component of the soccer ball?

a. 6.0 m/s

b. 10.39 m/s

c. 360 m/s

d. 720 m/s

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.

Correct!

The vertical velocity component is equal to the initial velocity multiplied to the sine of the launching angle.

Proceed to Question #3

Question #3

Joseph kicks a soccer ball 12 m/s at an angle of 30 degrees above the horizontal.

What is the ball's maximum height?

a. 0.61 m

b. 1.06 m

c. 1.84 m

d. 5.51 m

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.

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.

Question #4

Joseph kicks a soccer ball 12 m/s at an angle of 30 degrees above the horizontal.

How long is the soccer ball in the air?

a. 0.61 s

b. 1.06 s

c. 1.22 s

d. 2.12 s

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.

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.

Question #5

Joseph kicks a soccer ball 12 m/s at an angle of 30 degrees above the horizontal.

What is the ball's maximum range?

a. 0.732 m

b. 1.268 m

c. 7.32 m

d. 12.68 m

Yeeha! Woohoo!

You have reached the end of the quiz. Congratulations!

You may now go back to your LCLE module.

Always remember that the range of the projectile is equal to the horizontal velocity component times the time of flight.

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.