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Question: The first stage of the rocket launches a satellite to a height of 50 km and velocity attained is 600...

The first stage of the rocket launches a satellite to a height of 50 km and velocity attained is 6000 kmh-1 at which point its fuel exhausted. How high the rocket will reach?

A

138.9 km

B

188.9 km

C

88.9 km

D

168.9 km

Answer

188.9 km

Explanation

Solution

h = (v2/2g) + 50 km

= (5000/3)220×1000+50=188.9 km\frac { ( 5000 / 3 ) ^ { 2 } } { 20 \times 1000 } + 50 = 188.9 \mathrm {~km}