A body is projected vertically upwards from the surface of the earth with a velocity equal to half the escape velocity. If R is the radius of the earth, maximum height attained by the body from the surface of the earth is

Step-by-step solution

Maximum height attained by a projectile Velocity of body = half the escape velocity v= v_e 2 aligned or v= 2 g R 2 v^2= 2 g R 4 or v^2= ( g R 2 ) aligned Now, putting value of v^2 in Eq. (i), we get aligned h & = g R 2 R 2 g R- g R 2 = g R^2 / 2 3 g R / 2 or h & = R 3 aligned