Chapter+2,+Section+5

What do you think now: Different angles change the steepness or height. An angle above 45 will move less, and angles less than 45 will move less. 45 degrees is the angle to achieve the greatest distance. If the velocity of the object is increased, the power behind the object is greater, so it travel farther.

Investigation:

1. g=10 m/s/s. Speed = acceleration x time. When the ball falls, we will calculate the length between the ticks, which tick at 60 ticks per second, so then each tick is 1/60 of a second. We will then multiply the length by the time (1/60) to find the speed.

2.


 * Time of fall || Final Speed || Average Speed || Distance Traveled ||
 * 0.0 || 0.0 || 0.0 || 0.0 ||
 * 0.1 || 1 || 0.5 || 0.05 m ||
 * 0.2 || 2 || 1.5 || 0.3 m ||
 * 0.3 || 3 || 2.5 || 0.75 m ||
 * 0.4 || 4 || 3.5 || 1.4 m ||
 * 0.5 || 5 || 4.5 || 2.25 m ||
 * 0.6 || 6 || 5.5 || 3.3 m ||

3. The difference between the two points was .00375 m so the acceleration was .225 m/s/s.

5. A. The diagram Mr. Vanucci made had a distance traveled of two meters.

7. A. We noticed that when thrown from a higher angle, it was more difficult to complete the parabola in line with the diagram, while it was easier when he started a little farther away at a lower angle.

9. A. The conditions necessary for the trajectory to match would be the starting distance, and starting height. After finding both of these, it would be easier to find out how hard to throw the ball.

B. If you increase the power, the ball goes further, but if at a greater angle, the ball hits the ceiling. If at a lower angle, the ball lands very far from the end of the parabola. If thrown at a slower speed and a low angle, the ball goes significant shorter than at a faster velocity. If at a higher angle, the ball just goes higher in the air, but lands close.

11. A. It is a true trajectory.

C. The higher the angle, up to 45 degrees, the higher the ball is off the ground, showing that the ball would continue to travel in the air after the same amount of time compared to a 0 degree angle. Angles above 45 degrees, the ball goes shorter and shorter of a distance.

D. If 100% 90 degrees, the ball would travel straight up and down.

Physics Talk:

Notes: All objects travel in parabolas if there is no air resistance. Scientists create models to demonstrate their ideas, physical and mathematical. Angle measures that add up to 90 (40 and 50 for example) will land at the same spot.

1. The two types of motions are horizontal and vertical motion.

2. A scientist must show mathematical proof of his theory.

3. They both have the same range, two different firing angles that both add up to 90 degrees will both have the same impact point.

Class warm up 1/5/12


 * Time of Fall || Final Speed (m/s) || Average Speed (m/s) || Distance Fallen ||
 * 0.0 || 3 || 3 || 0 ||
 * 0.1 || 4 || 3.5 || .35 ||
 * 0.2 || 5 || 4.5 || .8 ||
 * 0.3 || 6 || 5.5 || 1.35 ||
 * 0.4 || 7 || 6.5 || 2 ||
 * 0.5 || 8 || 7.5 || 2.75 ||
 * 0.6 || 9 || 8.5 || 3.6 ||
 * 0.7 || 10 || 9.5 || 4.5 ||
 * 0.8 || 11 || 10.5 || 5.6 ||
 * 0.9 || 12 || 11.5 || 6.75 ||
 * 1 || 13 || 12.5 || 8 ||
 * 1.1 || 14 || 13.5 || 9.35 ||
 * 1.2 || 15 || 14.5 || 10.8 ||

It would take somewhere between 1.1 seconds and 1.2 seconds.

Physics to Go

1. 45 degrees creates the greatest distance because it is creating an even split between vertical and horizontal height. 2. a. If it is greater than 45 degrees, it is in the air longer. b. If it is less than 45 degrees, then it is in the air shorter. 3. a. 60 degrees b. 75 degrees 4. 5. He was able to do well because he was a sprinter and was able to get a faster velocity horizontally. 6. The acceleration is downward, while the velocity is eastward. 6. 7. 8. 9. The way to get the best vertical height is to have a 90 degree angle. http://phet.colorado.edu/en/simulation/projectile-motion 10. a. Downward due to the earth. b. 4.48 seconds c. 90 m