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# Projectile mail

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a glimpse of projectile motion

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### Projectile mail

1. 2. <ul><li>Any object that moves through the air or space </li></ul>
2. 3. <ul><li>Let’s think about objects that move in a straight line… </li></ul>
3. 4. <ul><li>If there were no gravity, an object moving horizontally (in the x-direction) would continue to move _________________ </li></ul>in a straight line
4. 5. <ul><li>If an object is dropped vertically (in the y-direction), then _________ causes it to _______________ downwards </li></ul>gravity accelerate
5. 6. <ul><li>Projectile motion is a ________________ ! </li></ul><ul><li>In the x-direction, it continues to move at a __________ speed, but in the y-direction, it ___________downwards because of gravity! </li></ul>combination constant accelerate
6. 7. <ul><li>For a projectile: THE X-VELOCITY IS _________________ OF THE Y-VELOCITY!!! </li></ul><ul><li>The speed in the x-direction doesn’t care what the speed in the y-direction is! </li></ul>INDEPENDENT
7. 8. <ul><li>Remember that _____________ is only pulling in one direction ( __________ !) and nothing is pulling ________________ </li></ul><ul><li>If there were no gravity, a projectile would go _____________forever: </li></ul>gravity down right or left straight
8. 9. <ul><li>Remember that velocity has a ____________ , so it can be represented using ____________ ! </li></ul><ul><li>We can break down the velocity into separate x- and y- components: </li></ul>direction vectors
9. 10. <ul><li>Let’s examine the x and y velocity vectors for a projectile: </li></ul><ul><li>Its x-velocity stays __________and its y-velocity _____________. </li></ul>constant increases
10. 11. <ul><li>X- Component </li></ul><ul><li>Y- Component </li></ul><ul><li>Vectors </li></ul>Note: g= 9.8 m/s^2
11. 13. <ul><li>Just like in free-fall: </li></ul><ul><ul><li>Velocity in the y-direction ___________ on the way up, and ____________ on the way down </li></ul></ul><ul><ul><li>At the top of the path, the y-velocity is always ______ </li></ul></ul><ul><ul><li>Velocity on the way up ________velocity on the way down when you reach the same _________ </li></ul></ul>decreases increases zero equals height
12. 14. <ul><li>If you were walking at a constant velocity with a baseball and threw it up into the air while you were walking, would it fall </li></ul><ul><ul><li>A. in front of you </li></ul></ul><ul><ul><li>B. behind you </li></ul></ul><ul><ul><li>C. right back into your hands? </li></ul></ul><ul><li>Why?? </li></ul>
13. 15. <ul><li>Its y-velocity is different than yours, but its x-velocity stays the same as you. It should land back into your hands! </li></ul>
14. 16. <ul><li>An airplane is carrying a bomb and traveling with a velocity of 1,100 mph east. If it releases its bomb and continues at that velocity, will the bomb land: </li></ul><ul><ul><li>A. Directly underneath the plane </li></ul></ul><ul><ul><li>B. Behind the plane </li></ul></ul><ul><ul><li>C. Ahead of the plane </li></ul></ul>
15. 17. <ul><li>If they’re going at the same x-velocity, it will land directly beneath the plane! </li></ul>
16. 18. <ul><li>Suppose two balls released from the same height: one is dropped from rest, and the other is thrown horizontally. Which will hit the ground first? Why? </li></ul><ul><li>They will hit at the same time, because they are both being pulled by gravity at the same rate! Only one will have a greater x-range. </li></ul>
17. 19. <ul><li>Your x- distance is called your __________and your y-distance is called your __________ . </li></ul><ul><li>Your range and height depend on: </li></ul><ul><ul><li>The _______ that the projectile is launched at and </li></ul></ul><ul><ul><li>The __________it is launched at </li></ul></ul>range height angle velocity
18. 20. <ul><li>Increasing your angle increases your range until you reach 45 °. </li></ul><ul><li>45° to 90°, increasing your angle decreases your range. </li></ul>
19. 21. <ul><li>The greater the initial velocity of a projectile, the ____________it will go: </li></ul>farther
20. 22. <ul><li>An object is fired from the ground at 100 meters per second at an angle of 30 degrees with the horizontal </li></ul><ul><ul><li>Calculate the horizontal and vertical components of the initial velocity </li></ul></ul><ul><ul><li>After 2.0 seconds, how far has the object traveled in the horizontal direction? </li></ul></ul><ul><ul><li>How high is the object at this point? </li></ul></ul>
21. 23. <ul><li>Part a </li></ul><ul><li>Part b </li></ul><ul><li>Part c </li></ul>
22. 24. Earth
23. 25. Earth Small horizontal velocity
24. 26. Earth Medium horizontal velocity
25. 27. Earth Fast horizontal velocity
26. 28. A projectile is always falling. The faster it moves horizontally, the farther away it will be when it hits the ground. Slow Medium Fast