Question:

A particle is projected with velocity 100 mis at 30?. Time of flight is

Updated On: May 12, 2024
  • 5 s
  • 10 s
  • 15 s
  • 7.5 s
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The Correct Option is B

Solution and Explanation

As, $T = \frac{2u \sin \theta}{g}$
Here, $u = 100 \, m \, s^{-1} , \theta = 30^\circ , g = 10 \, m\, s^{-2}$
$ \therefore \:\:\: T = \frac{2 \times 100 \times \sin 30^\circ }{10} = 10 s$
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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