u0pt) During volcanic eruptions, chunks of solid rock can be blasted out of the

Question

u0pt) During volcanic eruptions, chunks of solid rock can be blasted out of the volcano; these are called volcanic bombs. The figure below shows a cross section of Mt. Fuji in Japan a. Spt] At what initial speed would a bomb have to be ejected, at angle 8,-35° to the horizontal, from the vent at A in order to fall at the foot of the volcano at B, at vertical distant 3.30 km and horizontal distance d 9.40 km? Ignore the effects of air on the bomb's travel. b. 12pt) What would be the time of flight?

Explanation / Answer

Let the speed be v.

time t = d/v cos 35 degree = 9400/(v cos 35 degree)

Also, by second equation of motion in vertical,

-h = v sin 35 degree t - 0.5 g t^2

-3300 =   v sin 35 degree *9400/(v cos 35 degree) - 0.5 g t^2

-3300 = 6582 - 4.9t^2

t = sqrt((6582+3300)/4.9) = 44.908 s

v = 9400/(t*cos 35 degree) = 9400/(44.908* cos 35 degree)

= 255.5 m/s answer

b] time of flight = 44.908s found above

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