Rocket Booster
A small rocket with a booster blasts off and heads straight upward. When at a height of 5.0 km and velocity of
2000 m/s, it releases its booster (a) What is the maximum height the booster attains? (b) What is the velocity of
the booster at a height of 60 km? Neglect air resistance
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Answer:
no. a is the right answer for it I think
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The maximum height the booster attains is 200 km.
The velocity of the booster at height 60 km is 1670 m/s.
Given,
Height from ground= 5.0 km
Initial velocity (u)= 2000m/s = 2 km
To find,
Maximum height=?
Velocity at 60 km=?
Solution,
According to law of kinematics:
hmax= u² / 2g
hmax= (2)² / 2*(10/1000) = 200 km
Now,
v²= u² - 2gh
v²= (2000)² - 2*10*60000
v= 1670 m/s
Hence, the maximum height attained by booster will be 200 km and the velocity of the booster at a height of 60 km is 1670 m/s.
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