M4 Projectile Motion VI 1 D cm 25 25 25 25 25 30 30 30 30 30 35 35 35 35 35 40 40 40 40 40 45 45 45 45 45 50 50 50 50 50 55 55 55 55 55 60 60 h cm 2 3 3 5 3 8 3 1 3 5 1 2 1 3 2 2 2 7 3 4 3 1 3 4 4 2 5 1 5 8 16 5 16 5 18 1 18 5 19 4 21 0 21 1 21 2 22 0 23 0 27 0 27 1 28 0 28 9 29 7 35 5 37 5 37 7 38 4 40 0 48 4 50 4 h D 0 092 0 14 0 152 0 124 0 14 0 04 0 043333333 0 073333333 0 09 0 113333333 0 088571429 0 097142857 0 12 0 145714286 0 165714286 0 4125 0 4125 0 4525 0 4625 0 485 0 466666667 0 468888889 0 471111111 0 488888889 0 511111111 0 54 0 542 0 56 0 578 0 594 0 645454545 0 681818182 0 685454545 0 698181818 0 727272727 0 806666667 0 84 51 2 52 0 54 5 0 853333333 0 866666667 0 908333333 Example h D h 2 3 divided by D 25 0 092 To receive the rest of the values I placed the formula into excel 60 60 60 VI 2 Equation h D 0 027D 0 7588 VI 3 Using LINEST on excel I found the slope s uncertainty in the slope s the intercept b and the uncertainty in the intercept b to be s s 0 026964 0 000869 cm and b b 0 75877 0 038251 cm Determine e e b tan e e tan 1 b tan 1 0 75877 37 190 e e 37 1 Determine m m The proximity of the two values suggests that they agree with their uncertainty values Although calculated values are more precise and dependable than measured values Measurements can be affected by external factors and are prone to errors while calculated values are based on a wider data set minimizing the chances of errors VI 4 The value calculated in VI 5 does not fall into the range determined by my determination of V0 and its uncertainty in VI 4 The cause of this might be measurement errors The slope may be the reason for this We do not have the exact measurement for the slope which may have caused this to be incorrect VI 5 VI 6