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A projectile is fired vertically from th...

A projectile is fired vertically from the earth's surface with an initial speed of `10 km//s`. Neglecting air drag, how high above the surface of earth will it go?

Text Solution

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The correct Answer is:
A, B, D
`h = nu^(2)/(2g - (nu^(2)//R))`
`= (10^(4))^(2)/(2 xx 9.8 - (10^(4))^(2)/(6.4 xx 10^(6)))`
`= 2.51 xx 10^(7) m`
`= 2.51 xx 10^(4) km`
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Knowledge Check

  • A rocket is launched vertically from the surface of the earth with an initial velocity v. How far above the surface of earth will it go? Neglect the air resistance. (where R is the radius of the earth )

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