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[2] Student 1 is standing on a cart holding a small stone, while student 2 is standing at rest on the ground, as shown in
[2] Student 1 is standing on a cart holding a small stone, while student 2 is standing at rest on the ground, as shown in the gure above. The cart is moving at a constant speed v in the +x-direction, as indicated by the coordinate system shown. Student 1 drops the stone precisely when passing student 2. Which of the following best represents the path of the falling stone relative to student 1 and the path of the falling stone relative to student 2 ? Student 2 (1 1) A plane is moving horizontally through the sky with speed v. A package is dropped from the plane and travels a horizontal distance x from the point of release to where it lands on a target. If air resistance is negligible, the height from which the package is released is 1 ("f 2 9 v (12) A target Tlies at on the ground 3 m from the side of a building that is 10 m tall, as shown above. A student rolls a ball off the horizontal roof of the building in the direction of the target. Air resistance is negligible. The horizontal speed with which the ball must leave the roof if it is to strike the target is most nearly O+ l 10m (13) A small sphere is launched horizontally with a speed V0 toward a target a horizontal distance D away. The sphere lands on the target that is at height H below the height from which the sphere was launched. If the sphere were launched again, but with a speed 2% . how high above the target would the sphere have to be launched horizontally to hit the same target, still a horizontal distance D away
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