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Civil-engineering-Common-for-all-semester-->View question

Define i) Displacement ii) Velocity iii) Speed iv) Acceleration. - civil engineering

Elements of civil engineering and engineering mechanics

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neenu2

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1. Displacement: A displacement is a vector that is the shortest distance from the initial to the final position of a point P. It quantifies both the distance and direction of an imaginary motion along a straight line from the initial position to the final position of the point.
A displacement may be also described as a 'relative position': the final position of a point (Sf) relative to its initial position (Si), and a displacement vector can be mathematically defined as the difference between the final and initial position vectors:
s = Sf - Si = Δs
2. Velocity: The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is equivalent to a specification of its speed and direction of motion (e.g. 60 km/h to the north). Velocity is a physical vector quantity; both magnitude and direction are needed to define it.
3. Speed: n everyday use and in kinematics, the speed of an object is the magnitude of its velocity (the rate of change of its position); it is thus a scalar quantity
Speed has the dimensions of distance divided by time. The SI unit of speed is the meter per second, but the most common unit of speed in everyday usage is the kilometer per hour or, in the US and the UK, miles per hour. For air and marine travel the knot is commonly used.
4. Acceleration, in physics, is the rate of change of velocity of an object with respect to time. An object's acceleration is the net result of any and all forces acting on the object, as described by Newton's Second Law. The SI unit for acceleration is meter per second squared (m s−2). Accelerations are vector quantities (they have magnitude and direction) and add according to the parallelogram law.

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