Question

A projectile is thrown from the surface of earth at a large speed but less than escape velocity at some angle with vertical.

• A. Path of projectile will be porabolic
  
• B. Path of projectile is elliptical with center of earth as one of the focus
  
• C. At maximum seperatran from earth velocity of projectile is perpendicular to line joining projectile and center of earth.
  
• D. Path of projectile is hyperbolic.

Answer 1

Answer: (A), (B), (C)

The correct options are
A Path of projectile will be porabolic

B Path of projectile is elliptical with center of earth as one of the focus

C At maximum seperatran from earth velocity of projectile is perpendicular to line joining projectile and center of earth.


When the velocity of projection is less than the orbital velocity, then the projectile will traverse a parabolic path.
When the velocity of the projectile is more than orbital velocity but less than escape velocity, it will revolve around the Earth in elliptical path.
Since, v is less than escape velocity in this case, system is bounded and hence path can be elliptical or parabolic.