During volcanic eruptions, chunks of solid rock can be blasted out of the volcan

Question

During volcanic eruptions, chunks of solid rock can be blasted out of the volcano; these projectiles are called volcanic bombs. Figure 4-51 shows a cross section of Mt. Fuji, in Japan. (a) At what initial speed would a bomb have to be ejected, at angle ?0 = 32° to the horizontal, from the vent at A in order to fall at the foot of the volcano at B, at vertical distance h = 3.40 km and horizontal distance d = 9.60 km? Ignore, for the moment, the effects of air on the bomb's travel. (b) What would be the time of flight?

Explanation / Answer

Step1 Horizontal range = u^2 sin2? /g Step2 u^2 = 9600 * 9.8 /sin2? u^2 = 104673.49 u= 323.53 m/sec STEP 3: Step3 Time of flight= = 2usin?/g T = 34.99 sec

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