0 = 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 the effects of air on the bomb’s travel. (b) What
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During volcanic eruptions, chunks of solid rock can be blasted out of the volcano; these projectiles
are called volcanic bombs. The figure shows a cross section of Mt. Fuji, in Japan. (a) At what initial
speed would a bomb have to be ejected, at angle Θ0 = 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 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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- a projectile is launched at an angle theta with respect to the horizontal and air resistance is neglected. A) at what angle should you launch it so that it will achieve the maximum time in the air? B) what would be its range in that case?A projectile is shot from a cannon. The fixed parameters are the acceleration of gravity, g = 9.8 m/sec4, and the muzzle velocity, vo = 500 m/sec, at which the projectile leaves the cannon. The angle 0, in degrees, between the muzzle of the cannon and the ground can vary. The range of the projectile is = 25,510 sin 90 meters. 90 f(e) = sin (a) Find the range with 0 = 10". Round your answer to the nearest whole number. Range = i meters eTextbook and Media (b) Find a linear function of 0that approximates the range for angles near 10°. Specifically, fill in the missing numbers below for the local linearization of f at e = 10. Round your answers to the nearest whole number. f(e) i i - (0 – 10) meters eTextbook and Media (c) Find (1) the range and (ii) its approximation from part (b) for 11". Round your answers to the nearest whole number. (i) Range i meters. (ii) Approximate Range meters.A pilot is in his plane with the intention of flying to Nunavut. From the current location, Nunavut is [N 9.0W]. The flight tracker estimates the distance from Toronto to Nunavut is approximate 3.0x103km. The plane hasthe capability to fly at an airspeed of 890 km/hr. The pilot aims the plane at a heading [N], and lands in Nunavutdirectly. If the flight takes 3.33 hrs to complete: a. What is the velocity of the plane relative to the Earth? b. What was the wind velocity present on that day?
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