During volcanic eruptions, chunks of solid rock can be blasted out of the volcano; these projectiles are called volcanic bombs. a cross section of Mt. Fuji, in Japan. (a) At what initial speed would a bomb have to be ejected, at angle u0 = 35° to the horizontal, from the vent at A in order to fall at the foot of the volcano at B, at vertical distance h =3.30 km and horizontal distance d = 9.40 km? Ignore, for the moment, the effects of air on the bomb’s travel. (b) What would be the time of flight? (c) Would the effect of the air increase or decrease your answer in (a)?

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Chapter1: Units, Trigonometry. And Vectors
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During volcanic eruptions,
chunks of solid rock
can be blasted out of the volcano;
these projectiles are
called volcanic bombs. a cross section of Mt.
Fuji, in Japan. (a) At what initial speed would a bomb have to be
ejected, at angle u0 = 35° to the horizontal, from the vent at A in
order to fall at the foot of the volcano at B, at vertical distance
h =3.30 km and horizontal distance d = 9.40 km? Ignore, for the moment, the effects of air on the bomb’s travel. (b) What would
be the time of flight? (c) Would the effect of the air increase or
decrease your answer in (a)?

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