Question:

To get a resultant displacement of 10 m two displacement vectors, one of magnitude 6m and another of 8m should be combined.

Updated On: May 20, 2023
  • parallel
  • anti-parallel
  • at an angle $60^\circ$
  • perpendicular to each other
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The Correct Option is D

Solution and Explanation

$6^2 + 8^2 + 2 \times 6 \times 8 \, \cos \, \theta = 10^2$
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Concepts Used:

Motion in a Plane

It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions. 

Equations of Plane Motion

The equations of motion in a straight line are:

v=u+at

s=ut+½ at2

v2-u2=2as

Where,

  • v = final velocity of the particle
  • u = initial velocity of the particle
  • s = displacement of the particle
  • a = acceleration of the particle
  • t = the time interval in which the particle is in consideration