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# Free Fall & Projectiles 3

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### Free Fall & Projectiles 3

1. 1. Projectiles Freefall And
2. 2. Freefall <ul><li>Even if an object is heavier than another, it will fall at the same rate as a lighter object. </li></ul>
3. 3. Acceleration during Freefall <ul><li>As long as you are close to Earth, ALL objects have the same value of acceleration (9.81 meters per second^2) during freefall. This means that if two objects are dropped at the same time from the same height (neglecting air resistance), they will hit the ground at the same time. </li></ul>a=9.81m/s^2
4. 4. Example Freefall Problem <ul><li>Mrs. Glazenburg decided that she was fed up with David, so she threw him off of a roof that was 200 meters above the ground. How long did it take David to hit the ground? </li></ul><ul><li>Step One -Write out your knowns Step Two -Find the formula Step Three -Input knowns/solve </li></ul><ul><li>Vi= o m/s d=Vit + 1/2at^2 200m=om/s t + ½(9.81m/s^2)(t^2) </li></ul><ul><li>d= 200 meters 200m=4.905t^2 </li></ul><ul><li>a= 9.81 m/s^2 40.77=t^2 </li></ul><ul><li>t= ? sqrt40.77=t </li></ul><ul><li>t=6.39 seconds </li></ul>
5. 5. Real life Applications <ul><li>Freefall applies to many occurrences in life: </li></ul><ul><ul><li>If an object falls vertically downward in a vacuum tube </li></ul></ul><ul><ul><li>Moon Orbiting around the Earth </li></ul></ul><ul><ul><li>Projectile Examples in Life: </li></ul></ul><ul><ul><li>-In Sports: </li></ul></ul><ul><ul><li>Tiger Woods’s golf ball flying through the air. </li></ul></ul><ul><ul><li>Brett Favre’s Pass thrown down field. </li></ul></ul><ul><ul><li>Pedro Martinez’s Pitch. </li></ul></ul><ul><ul><li>-In Life: </li></ul></ul><ul><ul><li>A bullet being shot. </li></ul></ul><ul><ul><li>An arrow fired. </li></ul></ul>
6. 6. Projectile Vs. Freefall <ul><li>A ball thrown horizontally will hit the ground at the same time as a ball that is dropped vertically at the same time from the same location. </li></ul><ul><ul><li>Why? </li></ul></ul><ul><ul><ul><li>Because X motion is independent from Y motion, and since the accelerations of both are the same (9.81m/s^2) they will both hit the ground at the same time. </li></ul></ul></ul>
7. 7. X-Axis and Y-Axis in Projectile Problems <ul><li>In Projectile problems, the y-axis and x-axis are independent of each other because they have different motions, therefore should be treated separately. To insure this is accounted for, one should make a table with the x-axis coefficients on one side and the y-axis coefficients on the other side. </li></ul>