Question:

Escape velocity of a rocket is $11.2\, km/sec$. It is released at an angle of $45^{\circ}$. Its escape velocity is

Updated On: Jul 28, 2022
  • 11.2 m/sec
  • 11.2 $\sqrt{2}$ km/sec
  • 11.2 km/sec
  • 22.3 km/sec
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The Correct Option is C

Solution and Explanation

The escape velocity is independent of the angle of projection. So, the escape velocity of the rocket remains same.
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Concepts Used:

Escape Speed

Escape speed is the minimum speed, which is required by the object to escape from the gravitational influence of a plannet. Escape speed for Earth’s surface is 11,186 m/sec. 

The formula for escape speed is given below:

ve = (2GM / r)1/2 

where ,

ve = Escape Velocity 

G = Universal Gravitational Constant 

M = Mass of the body to be escaped from 

r = Distance from the centre of the mass