Table 1 Mass Ball type (kilograms) Tennis 0.058 ball Table 2 Measure Calculate Total PEmax = = tup tdown dup= ½ gtup2 Vmax Trial # time mghmax PEmax (s) (s) (m) (m/s) (s) (J) (J) 1 2.30 1.15 1.15 6.49 3.69 3.69 11.3 2 3.06 1.53 1.53 11.5 6.54 6.54 15.0 3 2.75 1.38 1.38 9.34 5.31 5.31 13.5 4 3.38 1.69 1.69 14.0 8.00 8.00 16.6 5 3.50 1.75 1.75 15.0 8.53 8.53 17.2 Table 3 Symbol Definition Formula Description and units Divide the total time by 2. ½ total tup = total tup Time up time time ÷2 Measured in seconds (s) tup = tdown ½ total tdown Time down (neglecting air time resistance) Use half of the total time (time up or time down) to calculate the Maximum maximum dup ½ gtup2 distance up distance upward or height the ball achieves. Measured in meters (m). The acceleration Acceleration for any object 9.81 g due to moving under m/s2 gravity the sole influence of gravity, also
Table 1 Ball type Mass (kilograms) Tennis ball 0.058 Table 2 Measure Calculate Trial # Total time (s) tup (s) tdown (s) dup= ½ gtup2 (m) PEmax = mghmax (J) = PEmax (J) Vmax (m/s) 1 2.30 1.15 1.15 6.49 3.69 3.69 11.3 2 3.06 1.53 1.53 11.5 6.54 6.54 15.0 3 2.75 1.38 1.38 9.34 5.31 5.31 13.5 4 3.38 1.69 1.69 14.0 8.00 8.00 16.6 5 3.50 1.75 1.75 15.0 8.53 8.53 17.2 Table 3 Symbol Definition Formula Description and units tup Time up ½ total time Divide the total time by 2. tup = total time ÷2 Measured in seconds (s) tdown Time down ½ total time tup = tdown (neglecting air resistance) dup Maximum distance up ½ gtup2 Use half of the total time (time up or time down) to calculate the maximum distance upward or height the ball achieves. Measured in meters (m). g Acceleration due to gravity 9.81 m/s2 The acceleration for any object moving under the sole influence of gravity, also