# physics

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An athlete executing a long jump leaves the ground at a 32.3 angle and travels 7.84 m. What was the takeoff speed?
If this speed were increased by just 5.0%, how much longer would the jump be?

• physics -

Neglecting air friction? Right.

vertical component speed=Vsin32.2
time in air..
hf=hi+vv*t-4.9t^2
0=V *sin32.2 t-4.9t^2
t=V *sin32.2/4.9

now, knowing the time in air, distance traveled is
7.84 =V*Cos32.2 * t solve for V given t above.

• physics -

9.41m/s

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