VI 1 D cm h D 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 60 60 60 65 65 65 65 65 h cm 1 0 1 4 1 7 1 7 2 7 3 8 3 8 4 0 4 3 4 8 7 8 8 4 8 9 9 2 9 2 13 8 13 4 13 4 13 3 14 4 20 2 20 5 20 0 20 4 20 3 27 1 28 5 27 9 28 4 27 6 35 3 35 5 35 7 34 6 36 8 43 9 45 2 46 6 43 6 43 0 0 01842 0 0002 28 0 033 0 047 0 057 0 057 0 090 0 109 0 109 0 114 0 123 0 137 0 195 0 210 0 223 0 230 0 230 0 307 0 298 0 298 0 296 0 320 0 404 0 410 0 400 0 408 0 406 0 493 0 518 0 507 0 516 0 502 0 588 0 592 0 595 0 577 0 613 0 675 0 695 0 717 0 671 0 662 slope slope unc 0 5142 intercept intercept 0 0111 41 unc h D vs D f x 0 02 x 0 51 VI 2 D h 0 8 0 7 0 6 0 5 0 4 0 3 0 2 0 1 0 25 30 35 40 55 60 65 70 50 45 D cm 0 01842 0 000228 0 5142 intercept 0 011141 intercept unc VI 3 slope slope unc b tan e e tan 1 b e tan 1 0 5142 e 27 2 e 1 b 1 b2 e 30 00 0 01 1 2 3 m 3 max min m 2 m 30 1 29 28 5 2 1 0 01114 1 0 5142 2 0 0088 29 28 28 28 333 3 The value of the calculated agrees within their uncertainties Both the LINEST value and the calculated value are similar but the LINEST value would be more accurate because it has more data input to calculate its value VI 4 g s 2v0 2sco s2 e g 2 cos2 vo 2s 2 188 331 cm v0 b b 1 b2 2 s vo 190 3 c m s v 0 188 331cm s 980 m s2 2 0 01842 s co s2 30 s 5142 0 011141 1 5142 2 2 000228 2 0 01842 2 2 508 g s 2v0 2sco s2 m g 2 cos2 vo 2s 2 185 298 cm v0 b b 1 b2 2 s vo 190 2 c m s v 0 980 m s2 2 0 01842 s cos2 28 333 s 5142 0 011141 1 5142 2 185 298 cm s 2 2 0 01842 2 000228 2 467 VI 5 9 v0 10 g S VI 6 10 980 cm s2 34 5 cm 9 193 821 cm s The value calculated in VI 5 is close to the value of VI 4 but it still doesn t fall in range VI 4 s v0 and its uncertainty This is most likely due to measurement errors we encounter while doing the experiment One reason might be that our S measurement might be off because of our viewing angle Another could be the ball isn t landing consistently in the same place Lastly our measurement of wasn t exact
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