A student performs the projectile motion experiment and records the following values for the photogate velocity and measured range of the projectile at an elevation angle of θ = 30o, with an initial elevation of Yo = 0.087 m using a pair of photogate spaced Dp = 0.10 m apart:
| Angle of Elevation: θ = 30o |
Photogate Separation: Dp = 0.10 m |
Initial Elevation Yo = 0.081 m |
| Run Number |
vp (m/s) |
vo (m/s) |
TToF (s) |
Xmax-cal (m) |
Xmax-exp (m) |
| 1 |
2.872 |
|
|
|
0.910 |
| 2 |
2.911 |
|
|
|
0.913 |
| 3 |
2.883 |
|
|
|
0.914 |
| 4 |
2.912 |
|
|
|
0.915 |
| 5 |
2.874 |
|
|
|
0.906 |
A) Calculate the initial velocity (vo) of the projectile for each of the five runs.
B) Calculate the time of flight (TToF) of the projectile for each of the five runs.
C) Calculate the range of projectile (Xmax-cal) for each run.
D) Find the average value and statistical uncertainty of Xmax-cal.
E) Determine the average value and statistical uncertainty of the measured range (Xmax-cal).
F) Compare X-max-cal ±δ X-max-cal with X-max-exp ±δ X-max-exp.