Question:

One of the rectangular components of a vector 80 unit is 40 unit, the other component is

Updated On: Jul 6, 2022
  • 69 unit
  • 60 unit
  • 75 unit
  • 36 unit.
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The Correct Option is A

Solution and Explanation

Here, $\upsilon$ = 80 km $h^{-1}$ Let $\upsilon_x$ = 40 km $h^{-1}, \upsilon_y = ?$ We know $\upsilon^2 = \upsilon^2_x + \upsilon^2_y$ $\upsilon^2_y = \upsilon^2 - \upsilon^2_x = 80^2 - 40^2 $ $= 6400 - 1600 = 4800$ $\upsilon_y = \sqrt{4800} $= 69.28 unit .
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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