can you help me with this lab. I have completed it but I want to make sure every equation was done correctly with the correct formula for ap physics Target Practice Physical Lab

Materials

String

Ruler

Ball (marble, golf ball, tennis ball, or anything that rolls)

Stopwatch - (cell phone, wristwatch, ...)

Ramp (book, board, ruler with a groove in the middle, etc. - minimum 30 cm) Books or magazines to adjust the ramp height

Tape.

Procedure:

1. Set up the ramp on a table-top so that the end of the ramp is 30.0 cm from the edge the table.

2. Place a piece of tape to mark the distance 30.0 cm from the edge of the table.

3. Adjust the height of the ramp to approximately 25^o.

4. The exact angle does not really matter as you are just using the ramp to accelerate the ball. You do need to keep it constant so the trials can be compared.

5. Using a plumb bob (string with a small mass attached to the end), mark with a piece of tape the floor directly below the edge of the table.

6. Record the height of the table in the area provided on the submission form.

7. This is the y displacement of the ball as it undergoes projectile motion.

8. Roll the ball down the ramp and time, to the best of your ability, the time the ball takes to traverse the 30 cm from your tape marker to the edge of the table.

9. Repeat this process 4 more times and record all of your values in data table I.

10. Roll the ball and start your stopwatch as the ball passes the tape marker, then stop the stopwatch as the ball leaves the table.

11. Now roll the ball again, but this time focus on the range that the ball reaches. Record the range of the ball, that is the horizontal (x) displacement from the edge of the table to the point where the ball lands.

12. Repeat for 4 more trials and record this range in data table I.

13. Calculate the average time that it took the ball to travel across the table. Show your calculation in the area provided on the submission form.

14. Calculate the average range and record in data table I. Show your calculation in the area provided.

15. Calculate the launch velocity of the projectile using the 30cm displacement across the table (be sure to convert to meters) and the time. We will assume the velocity was constant so use the appropriate kinematic equation. Show your work in the area provided on the submission form.

16. Using the height of the table, calculate the time it takes the ball to hit the ground after it leaves the table. Show your calculation in the area provided. We will assume that the ball leaves the table horizontally.

17. Calculate the expected x displacement of the ball. That is, calculate the expected range. Show your calculation in the area provided.

Question - Answer the questions found on the submission form

Conclusion -the conclusion using the criteria given to you by your teacher Target Practice Physical Lab

1. Height of Table (Y Displacement) (3 Points)

0.76 m

Data Table I (20 Points)

Trial	Time (s)	Range (m)
1	0.48 s	0.22 m
2	0.51 s	0.24 m
3	0.46 s	0.21 m
4	0.49 s	0.23 m
5	0.47 s	0.22 m
Average	0.482 s (rounded to three significant figures)	0.224 m (rounded to three significant figures)

1. Calculation of Average Time (6 Points)

Average Time = (0.48 s + 0.51 s + 0.46 s + 0.49 s + 0.47 s) / 5 trials Average Time = (2.41 s) / 5 trials Average Time = 0.482 s (rounded to three significant figures)

So, the average time for these five trials is approximately 0.482 seconds.

1. Calculation of Average Range (6 Points)

Average Range = (0.22 m + 0.24 m + 0.21 m + 0.23 m + 0.22 m) / 5 trials Average Range = (1.12 m) / 5 trials Average Range = 0.224 m (rounded to three significant figures)

So, the average range for these five trials is approximately 0.224 meters.

1. Calculation of Average Velocity Across Table (10 Points)

Average Range = 0.224 m Average Time = 0.482 s Average Velocity = 0.224 m / 0.482 s Average Velocity 0.465 m/s v = d/t

So, the average velocity across the table is approximately 0.465 meters per second.

1. Calculation of Time Ball Falls (20 Points)

-0.76m= 1/2 (9.81m/s ^2 )t^ 2 -0.76m=4.905m/s^2t^2 t^2 = -0.76m/-4.905m/s^2 t^2 0.1549s^2 t square root(0.1549s^2) t 0.394s

1. Calculate if Expected Range (10 Points)

x=0.464m/s0.394s x 0.183 m x 0.183m

Questions (5 Points Each)

1. How would an increase in the velocity across the table? If you increase the velocity at which the ball travels across the table (increasing the horizontal velocity Vx), it would result in an increase in the range of the projectile.

1. Change the time the projectile was in the air?

Increasing the horizontal velocity (Vx) alone does not change the time the projectile spends in the air (ty). The time the projectile is in the air primarily depends on the vertical motion and the initial vertical velocity.

1. Change the range of the projectile?

Increasing the horizontal velocity (Vx) will increase the range of the projectile. This is because the range is directly proportional to the horizontal velocity. The formula for range (x) isx=Vxty, so ifVxincreases,xwill increase as well.

1. What variables have the same value in the x and y axis for any given projectile?

The total time the projectile is in the air (ttotal) is the same for both the x and y axes.The magnitude of the velocity at the highest point of the trajectory is the same in both the x and y axes, although the direction of velocity is different. The horizontal displacement (x) and vertical displacement (y) at the highest point are both zero. These properties are a result of the symmetrical nature of projectile motion when there is no air resistance.

Conclusion (10 Points) In this experiment, we learned about how things move when we throw them. We found out that it's helpful to separate how things move in two directions, like up and down (vertical) and side to side (horizontal). Using some special math, we figured out exactly how long it took for a ball to fall from a table. It was about 0.394 seconds. We also used the same math to guess how far the ball would go when we threw it sideways. Our guess was about 0.183 meters. One cool thing we noticed was that the time it takes for the ball to fall down and the time it takes for the ball to go sideways are the same. This made it easier for us to understand how everything works together.