11. You want to calculate the displacement of an object thrown over a bridge. Using - 10 m/s2 for acceleration due to gravity, what would be the total displacement of the object if it took 8 seconds before hitting the water?

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Physics

Zander

27 October, 13:34

11. You want to calculate the displacement of an object thrown over a bridge. Using - 10 m/s2 for acceleration due to gravity, what would be the total displacement of the object if it took 8 seconds before hitting the water?

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Jakobe Copeland · Answer 1

Displacement is d

Vf² = Vi² + 2 g d

(-20²) = (+10²) + 2 (-9.8) d

-19.6 d = 300

d = - 15.3 m

negative means lower

time is t

d = Vi t + 1/2 g t²

-15.3 = 10 t + (-4.9) t²

4.9 t² - 10 t - 15.3 = 0

t = 3.06 s