What Is Magnitude Of Displacement

Displacement is calculated as the shortest distance between starting and terminal point which prefers straight-line path over curved paths.

Suppose a body is moving in 2 different directions x and y so Resultant Displacement will be

$displacement formula$

Information technology gives the shortcut paths for the given original paths.

$Displacement Formula 2$

$Displacement in terms of velocity$

$displacement in terms acceleration$

Here,

u = Initial velocity

v = concluding velocity

a = acceleration

t = fourth dimension taken.

Solved Examples

Problem 1: The path distance from the garden to a schoolhouse is 5 m west and then 4 m south. A architect wants to build a short altitude path for information technology. Find the deportation length of the shortest path.

Solution:

Given: Distance to the westward ten = 5 m

Distance to the southward y = iv g.

Distance to the south

Deportation is given past

$displacement formula 3$

$displacement formula 4$

s = half-dozen.403 m.

The builder tin can build a path for deportation length of 6.7 m.

Question 2:A girl walks from the corridor to the gate she moves 3 m to the northward opposite to her business firm then takes a left turn and walks for 5 thousand, then she takes right turn and moves for 6 grand and reaches the gate. What is the displacement, magnitude, and distance covered by her?

Solution:

Total altitude travelled d = 3 one thousand + 5 grand + 6 1000 = 14 m.

A magnitude of the displacement tin can be obtained by visualizing the walking. The bodily path from A to B every bit 3 m then from B to D every bit five g and finally from D to E every bit 6 m.

Total distance travelled