# Physics

posted by .

How is escape velocity independent of angle of projection??

I mean i expect it to be DEPENDENT on the angle of projection cuz only vertical component of initial velocity helps a body to overcome gravitational force. So only the vertical component of velocity can behave as escape velocity. And angle does matter there.. PLzzzz help me out..

• Physics -

Assuming there is no atmosphere and the projectile is not aimed below the horizon (i.e. at the ground), the escape velocity IS independent of launch angle. Consider the situation from an energy point of view. If there is enough in initial kinetic energy so that Ve^2/2 = MG/R, where M is the Earth's mass and R is its radius, then when r = infinity, the total energy
(m/2)v^2 - mMG/r
is zero, and the projectile can escape. The horizontal component of velocity at launch IS used to overcome gravitational attraction at large distances.

• Physics -

break components of velocity and apply conservation of energy . You will observe that sin( theta ) and cos(theta) terms of velocity can be easily eliminated from sin square + cos square = 1. Hence we see that expression of escape velocity of object launched at angle theta from vertical will be same as that for vertical projection of body.

## Similar Questions

1. ### College Physics

The only force acting on a 3.9 kg body as it moves along the positive x axis has an x component Fx = - 6x N, where x is in meters. The velocity of the body at x = 3.0 m is 8.0 m/s. (a) What is the velocity of the body at x = 4.0 m?
2. ### Physics Honors

Jason Kendall throws a baseball with a horizontal component of velocity 25 m/s. It takes 3.0 s to come back to its original height. Calculate its horizontal range, its initial vertical component of velocity and its initial angle of …
3. ### Physics

A projectile, fired with unknown initial velocity, lands 20.8 s later on the side of a hill, 2900 m away horizontally and 411 m vertically above its starting point. (Ignore any effects due to air resistance.) (a) What is the vertical …
4. ### projectile motion

A missile is fired upwards from the top of a cliff in a direction making an angle (not known ) with the horizontal. After 20seconds the projectile hits the ground at a point which is 1800metre from the foot of the tower of height 160metres. …
5. ### Physics

A projectile, fired with unknown initial velocity, lands 18.4 s later on the side of a hill, 2740 m away horizontally and 469 m vertically above its starting point. (Ignore any effects due to air resistance.) (a) What is the vertical …
6. ### Physics

A projectile, fired with unknown initial velocity, lands 18.4 s later on the side of a hill, 2740 m away horizontally and 469 m vertically above its starting point. (Ignore any effects due to air resistance.) (a) What is the vertical …
7. ### physics

a ball thrown by a boy is caught by another after 2 second soome distance away in the same level. If thr angle of projection is 30 degree, the velocity of projection will be?
8. ### Physics

A body is projected such that the horizontal range is twice the maximum height of projection. Find the angle of projection; and the time of flight if the velocity of projection is 5m/s
9. ### physics

the maximum height attained by the projectile motion is 600m and the range is 500m find a. angle of projection b. velocity of projection c. total time of flight
10. ### math

A ball is thrown horizontally from a cliff such that it strikes ground after 5 secs the line of sight from the point of projection to the point of hitting makes an angle 37Â° with horizontal what is initial velocity of projection

More Similar Questions