We knew that the formula for an accelerating body is: Distance = (startingvelocity)(time) +(1/2)(acceleration)(time)(time) d = (v o )(t)+(1/2)(a)(t 2 )
Second Degree Taylor Polynomial General Formula: P 2 (x) = f(a) + f’(a)(x-a) + ½f’’(a)(x - a) 2 Specifically: d = (first derivative) (change in time) + (½) (second derivative)*(change in time)* (change in time)
Hand 1q1 Hand Height Three Ball Cascade: t/2 =.496/2 =.248 seconds Five Ball Cascade: t/2 =.658/2 =.329 seconds
Three Ball Cascade: d = (0)(.248) + (1/2)(9.8)(.2482) =.30317 meters Five Ball Cascade: d = (0)(.329) + (1/2) (9.8) (.3292) =.53038 meters
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