Calculations and Worked Examples

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Presentation transcript:

Calculations and Worked Examples

Drop Jump Measures Mass = 92kg Box Height = 0.20m Acceleration due to Gravity = -9.806 m·s-2 (m/s/s) Impulse = 678 N.s BW Impulse = 280 N.s H V t-d V t-o

Calculations

Vertical Velocity TD vf (vt-d) = ? vi = 0 m·s-1 a = -9.806 m·s-2 s = 0.2 m t = ? Which Calculation do you select? Calculate the Vt-d (Vf) s = 0.2m

Vertical Velocity TD vf2 = vi2 + 2.a.s vf (vt-d) = ? vi = 0 m·s-1 a = -9.806 m·s-2 s = 0.2 m vt-d2 = 02 + (2 x -9.806 x 0.2) = -3.9224 vt-d = √-3.9224 = -1.98 m·s-1 s = 0.2m

Vertical Velocity TO vf (vt-d) = ? vi = -1.98 m·s-1 a = ? s = ? t = 0.31 seconds Mass = 92 kg Impulse = 678 N.s BW Impulse = 280 N.s Which Calculation do you select? Calculate the Vt-d (Vf) a = ? Vf = ? Vi = -1.98 m·s-1 Jump Impulse Impulse BW BW 0.31 seconds

Vertical Velocity TO Impulse =  m x v 678-280 =  m x v 398 = m x vt-o – m x vt-d 398 = (92 x vt-o) – (92 x -1.98) 398 = 92 (vt-o + 1.98) 398 – 1.98 = vt-o 92 vt-o = 2.35 m·s-1

Maximum Jump Height vf = 0 m·s-1 vi (vt-o) = 2.35 m·s-1 a = -9.806 m·s-2 s = ? t = ? Which Calculation do you select? Calculate the Vt-d (Vf) a = -9.806 m·s-2 Vf = 0 m·s-1 s = ? vi (vt-o) = 2.35 m·s-1

Maximum Jump Height vf2 = vi2 + 2.a.s vf = 0 m·s-1 vi (vt-o) = 2.35 m·s-1 a = -9.806 m·s-2 s = ? 02 = 2.352 + (2 x -9.806 x s) 0 = 5.5225 + (-19.612 x s) -5.5225 = -19.612 x s -5.5225 = s -19.612 s = 0.28 m (28cm) a = -9.806 m·s-2 Vf = 0 m·s-1 s = ? vi (vt-o) = 2.35 m·s-1

Maximum Jump Height vf = 0 m·s-1 vi (vt-o) = 2.35 m·s-1 a = -9.806 m·s-2 s = ? t = ? vf = vi + at 0 = 2.35 + -9.806 * t -2.35 = -9.806 * t -2.35 = t -9.806 t = 0.24 seconds s = vi t + ½ a t2 s = 2.35 * 0.24 + 0.5 * -9.806 * 0.242 s = 0.56 + -4.903 * 0.0576 s = 0.56 + - 0.2824 s = 0.28 m (28cm)

Maximum Jump Height vf = 0 m·s-1 vi (vt-o) = 2.35 m·s-1 a = -9.806 m·s-2 s = ? t = ?