(Solved): A helicopter is flying in a straight line over a level field at a constant ...

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A helicopter is flying in a straight line over a level field at a constant speed of \( 16.0 \mathrm{~m} / \mathrm{s} \) and at a constant altitude of \( 17 \mathrm{~m} \). A package is ejected horizontally from the helicopter with an initial speed of \( 11.6 \mathrm{~m} / \mathrm{s} \) relative to the helicopter, and a direction opposite to the helicopter's motion. Find the initial \( x \) velocity of the package relative to the ground. What is the horizontal distance between the helicopter and the package at the instant that the package strikes the ground? What angle between 0 degrees and 90 degrees does the velocity vector of the package make with the ground at the instant before impact, as seen from the ground? A rocket is launched from rest and moves in a straight line at \( 30.0 \) degrees above the horizontal with an acceleration of \( 45.0 \mathrm{~m} / \mathrm{s}^{2} \). After \( 25.0 \mathrm{~s} \) of powered flight, the engines shut off and the rocket follows a parabolic path back to earth. Find the time of flight from launch to impact. What is the maximum altitude reached? What is the horizontal distance between the launch pad and the impact point? A gun shoots bullets that leave the muzzle with a speed of \( 261 \mathrm{~m} / \mathrm{s} \). If a bullet is to hit a target \( 176 \mathrm{~m} \) away at the level of the muzzle, the gun must be aimed at a point above the target. How far above the target is this point? (Neglect air resistance.) A basketball player throws the ball at a 50 degree angle above the horizontal to a hoop which is located a horizontal distance \( L=9.2 m \) from the point of release and at a height \( h=2.7 \mathrm{~m} \) above it. What is the required speed if the basketball is to reach the hoop?