Problem: A rocket is launched vertically from rest with a constant upward acceleration of 2.01 m/s2 . Suddenly 22.5 s after launch, an unneeded fuel tank is jettisoned by shooting it away from the rocket. A crew member riding in the rocket measures that the initial speed of the tank is 25.0 m/s and that it moves perpendicular to the rockets path. The fuel tank feels no appreciable air resistance and feels only the force of gravity once it leaves the rocket.How fast is the rocket moving at the instant the fuel tank is jettisoned?What are the horizontal and vertical components of the fuel tanks velocity just as it is jettisoned as measured by a crew member in the rocket?At what angle with respect to the horizontal does the jettisoned fuel tank initially move, as measured by a crew member in the rocket?What maximum height above the launch pad does the jettisoned tank reach?What are the horizontal and vertical components of the fuel tanks velocity just as it is jettisoned as measured by a technician standing on the ground?At what angle with respect to the horizontal does the jettisoned fuel tank initially move, as measured by a technician standing on the ground?

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Problem Details

A rocket is launched vertically from rest with a constant upward acceleration of 2.01 m/s2 . Suddenly 22.5 s after launch, an unneeded fuel tank is jettisoned by shooting it away from the rocket. A crew member riding in the rocket measures that the initial speed of the tank is 25.0 m/s and that it moves perpendicular to the rockets path. The fuel tank feels no appreciable air resistance and feels only the force of gravity once it leaves the rocket.

How fast is the rocket moving at the instant the fuel tank is jettisoned?

What are the horizontal and vertical components of the fuel tanks velocity just as it is jettisoned as measured by a crew member in the rocket?

At what angle with respect to the horizontal does the jettisoned fuel tank initially move, as measured by a crew member in the rocket?

What maximum height above the launch pad does the jettisoned tank reach?

What are the horizontal and vertical components of the fuel tanks velocity just as it is jettisoned as measured by a technician standing on the ground?

At what angle with respect to the horizontal does the jettisoned fuel tank initially move, as measured by a technician standing on the ground?

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Our tutors have indicated that to solve this problem you will need to apply the Projectile Motion: Launch From Moving Vehicle concept. If you need more Projectile Motion: Launch From Moving Vehicle practice, you can also practice Projectile Motion: Launch From Moving Vehicle practice problems.