A position vector describes the position of a point in a coordinate system. Figure:7.a If P is the position of an object at time t, then OP is the position vector of the object at that time. It is denoted by . Displacement vector describes the position of a point with reference to a point … Read more
Multiplying a vector with a positive number n gives a vector (= n) whose magnitude is changed by the factor n, but the direction is same as that . Also, Multiplying a vector with a negative number n gives a vector (= – n) whose direction is opposite to the direction of and its magnitude … Read more
Physical quantities are divided into two categories: Scalars quantities: They have only the magnitude. For example, mass, length, time, temperature etc. The scalars quantities can be added, subtracted, multiplied and divided just as the ordinary numbers. Vectors quantities: They have both magnitude and direction. for example velocity, force, electric field, torque etc. A vector can … Read more
For example, if an object has a certain velocity, it must be described with respect to a given reference frame. In most examples, the reference frame is Earth. Suppose a train X moving at 30 m/s along the east, then it is considered that the train X is moving relative to the surface of Earth … Read more
Concept of speed: Speed is an indication of how fast an object is moving. It is a scalar quantity that refers only to the magnitude, which means speed is something that’s measurable on a scale that shows how large it is. The SI unit of speed m/s. The dimensional formula of speed is $[$$M^{0}LT^{-1}$$]$. Uniform … Read more
Concept of coordinate system: Every day, we see lots of things moving around. For example, a vehicle is passing through from one place to another. In scientific terms, an object is said to be in motion, if it changes its position with time; and at rest, if it does not change its position with time. … Read more
Motion with uniformly accelerated motion is a motion in which the velocity of an object changes at the same rate throughout the motion. First equation of motion: For an object moving with constant acceleration, its average acceleration and instantaneous acceleration are equal. $a_{avg}=\frac{v_{2}-v_{1}}{t_{2}-t_{1}}$ Let u be the velocity at time t = 0, and v … Read more