The displacement can have any value i.e., positive, negative or zero. The distance travelled by a body is always positive and can never be negative. The formula for displacement is Velocity × Time It depends upon both magnitude and direction.
That is, the direction is taken into consideration while calculating displacement. That is, the direction is not considered while calculating distance. I.e., Δ 𝑥 = 𝑥 2 – 𝑥 1, where Δ 𝑥 is the displacement, 𝑥 1 and 𝑥 2 are the initial and final positions respectively. I.e., Δd = d 1 + d 2 + d 3 + …….+ d n, where Δd is the total distance, d 1, d 2, d 3….d n are the paths covered by the particle to reach from initial to the final position.ĭisplacement is the shortest distance from the initial to the final position of the body while considering the direction. The distance travelled is the total path covered by a particle in a given interval of time. The numerical ratio of displacement to distance is equal to or less than one.ĭifference between distance and displacement in tabular form Sl.The displacement of an object is unaltered due to a shift in the origin of the position axis.
The displacement of the object between two points has a unique value.If an object, after travelling a certain distance returns to the starting point, then its displacement is zero.The magnitude of the displacement will be less than or equal to the actual distance travelled by the object in the given interval of time.The SI unit for displacement is metre and it has the dimension of length.The magnitude of displacement of a particle between two points gives the shortest distance between the two points.It can be a positive,a negative or a zero value. Now the distance travelled is (2l + h) while the displacement is –h. The object moves a distance l upwards and returns to the ground. Consider an object projected vertically from the top of a building of height h.When it completes one revolution, the distance covered is 2πr and the displacement is zero. In the case of a body circulating around a circle of radius r, when it completes a semi-circle AB, the distance covered is πr, while displacement is 2r. The unit and dimensions of displacement are the same as that for the distance which is metre and respectively. If the particle moves from P to R and then from R to P along any path, the net displacement. If the particle is travelling from R to P along any path, the displacement is represented. It can have any value i.e., a zero, –ve or +ve. It is a vector quanity and is represented by. It is obtained by drawing a straight line vector from initial to final positions. The displacement is the shortest distance between the two points. Ĭonsider a particle moving from P to R via Q as shown in figure 1.ĭisplacement may be defined as the change in position of a particle along a given direction. The SI unit for distance is metre and its dimensional formula is. For a moving body, the distance covered is always positive.
The total path covered by a particle in a given interval of time is called the distance travelled by that particle. Difference between distance and displacement in tabular form.Distance and Displacement – Definitions.
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