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A man projects a coin upwards from the gate of a uniform moving train. The path of coin for the man will be

Answer
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Hint:Here, we use the concept of projectile motion. It is defined as when the object is thrown with the initial velocity and moves under the action of gravity alone in the curved path. This curved path followed by the particle is called a trajectory. It is a two-dimensional motion in a plane along the x-axis and y-axis.

Complete step by step answer:
According to projectile motion, the particle velocity can be resolved into two components along the x-axis and y-axis. That is along horizontally and vertically. When a man flips the coin upwards from the gate of a uniform moving train, the relative displacement becomes zero, and the horizontal velocity of the coin and the man will remain the same, i.e., straight line.

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Additional information:The velocity and acceleration can analyze projectile motion in vector form. The motion of anybody who travels freely, so that it is subject only to the vertical acceleration due to gravity, can be analyzed simply in terms of its horizontal and vertical motion. The law of vector addition, which allows us to resolve components, is a key method in analyzing projectile motion.

Note:Free fall can only occur under gravity, but projectile motion can occur under any force field. Freefall is a special case of projectile motion where the initial velocity is zero. Three main factors affect the trajectory of an object or body in flight: the projection angle, the magnitude of projection velocity, and the projectile's height.