You can use any coordinate system you like to solve aprojectile motion problem. To demonstrate the truth of this statement, consider a ball thrown off the top of a building witha velocity vS at an angle u with respect to the horizontal. Letthe building be 50.0 m tall, the initial horizontal velocity be9.00 m/s, and the initial vertical velocity be 12.0 m/s. Chooseyour coordinates such that the positive y - axis is upward, thex - axis is to the right, and the origin is at the point where theball is released. (a) With these choices, find the ball’s maximumheight above the ground and the time it takes to reachthe maximum height. (b) Repeat your calculations choosingthe origin at the base of the building.

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Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.