Motion in One Dimension

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Physics Newtonian Mechanics Motion in One Dimension

	Kinematics with vectors:
	Kinematics is the study of motion without knowing the cause of it. Since, the motion of an object involves the physical quantities such as displacement, velocity and acceleration, which have both magnitude and direction, it is always essential to consider the properties of vectors. These physical quantities obey the laws of vector addition and also all of the properties of vectors. Properties of Vectors: Following are some of the properties of vectors required while dealing with the motion of an object in a straight line. (i) Commutative (vector) A + B = B + A (ii) Associative (vector) (A + B) + C = A + (B + C) (iii) Additive identity There is a vector 0 such that (A + 0) = P = (0 + A) for all A (iv) Additive inverse For any P there is a vector -P such that P + (-P) = 0 (v) Distributive (vector) k(A + B) = kA + kB (vi) Distributive (scalar) (r + s) A = rA + sA (vii) Associative (scalar) r(sA) = (rs)A (viii) Multiplicative identity For the real number 1, 1A = A for each A