Question:

Generally the path of a projectile from the earth is parabolic but it is elliptical for projectile going to a very large height. Up to ordinary height the projectile moves under a uniform gravitational force, but for great heights, projectile moves under a variable force.

Updated On: Jul 5, 2022
  • Both assertion and reason are true and reason is the correct explanation of assertion
  • Both assertion and reason are true but reason is not the correct explanation of assertion
  • Assertion is true but reason is false
  • Assertion is false but reason is true
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The Correct Option is A

Solution and Explanation

Upto ordinary heights, the change in the distance of a projectile from the centre of earth is negligibie compared to the radius of earth. Hence, the projectile moves under a nearly uniform gravitational force and the path is parabolic. But for the projectiles moving to a large height, the gravitational force decreases quite decreasing variable force, the path of the projectile becomes elliptical.
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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