Module 3: Projectile Motion Enabling Assessment 2 Worksheet on Projectile Motion Name Date Teacher CYS Points 60 points Time Allotment 45 minutes DATA SHEET: Place all your data on the table provided. Part 1A (20 pts) Initial velocity = 12 m/s Height of Canon=3m Angle Range (using simulator) Range (calculated) o 30 16.67 16.73 o 35 17.22 17.20 o 40 17.42 17.46 o 45 17.23 18.66 o 50 16.64 16.66 o 55 15.65 15.62 Solution for Range (calculated) Score o 60 14.26 14.28 o 65 12.5 12.5 o 70 10.42 10.42 o 75 8.07 8.08 Angle at which range is maximum: 45˚ S-EPHY 001 LA PHYSICS FOR ENGINEERS LABORATORY Module 3: Projectile Motion Part 2A (20 pts) 12 m/s Initial velocity = ____________________ Height of Canon = __________________ 9m Range (calculated) Angle Range (using simulator) o 30 21.8m 21.82m o 35 21.89m 21.92m o 40 21.63m 21.60m o 45 20.98m 21.47m o 50 19.93m 19.98m o 55 18.49m 18.52m o 60 16.67m 16.68m o 65 14.5m 14.45m Solution for Range (calculated) o 70 12.01m 12.03m o 75 9.25m 9.26m Part B (10pts) Height, m Angle, degrees Velocity, m/s Range, m 2 20 16 21 8 5 15 21 2 10 20 21 ***Observe three stars when the material hit the target Discussion of Results (6 pts) The ranges from the stimulator and calculated in Part 1A were reasonably similar. The experiment has a fixed initial velocity, whereas the height is modified to have a variable along the Y component. Additionally, the stimulator provided the required time, accordingly, the formula for computing the range is obtained from the x displacement wherein 𝑋 = 𝑉0 cos 𝜃 𝑡. The results from Part 2A are comparable to the value of range based on the simulator. There is no direct formula for range that accommodates with the given height of the canon as well as the total time flight. Thus, the first formula used to get the time (t) is derived from the displacement (y) formula then substitute the time (t) to the formula of 𝑋 = 𝑉0𝑥 𝑡 wherein 𝑋 = 𝑉0 cos 𝜃 𝑡. It could have a miniscule probability of miscalculation depending on the significant figures or decimal places, still, the computed ranges are very much similar. Conclusion (4 pts) The experiment illustrates trajectory plots for various launch angles with the same initial velocity. It shows that the launch angle affects the projectile's maximum height, duration in the air, and horizontal range. The greater the launch angle, the longer the time in the air, as time in the air is determined by the initial vertical velocity. The stimulator's overall results were rather near to the computed results; the primary difference is that the stimulator saves time by not having to compute the problem; however, if the problem is solved manually for verifying, the accuracy will be higher than with the stimulator.