A bomb is dropped (initial speed zero) from a helicopter hovering 800 meters above the ground. A projectile is fired from a gun located on the ground 800 meters west of the point directly beneath the helicopter. The projectile is supposed to hit the bomb at a height of exactly 400 meters above the ground. If the projectile is fired at the same instant the bomb is dropped, what should be its initial velocity and angle of elevation

Aleaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.7 kg/m. initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. find the work done. (use 9.8 m/s2 for g.) show how to approximate the required work by a riemann sum. (let x be the height in meters above the ground. enter xi* as xi.) lim n → ∞ n (9.8)(45−3 xi) i = 1 δx express the work as an integral. 0 dx evaluate the integral. (round your answer to the nearest integer.) j