Rocket Out of Fuel: Time and Altitude

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SUMMARY

The discussion centers on a physics problem involving a rocket that accelerates vertically at 4.0 m/s² until it reaches an altitude of 1500 meters, at which point it runs out of fuel. The rocket's velocity at fuel depletion is calculated to be 110 m/s. The key questions include the time taken to reach 1500 meters, the maximum altitude achieved, the total time to reach maximum altitude, and the velocity upon striking the Earth. The equations of motion, specifically x = x₀ + vt + 0.5at², are essential for solving these questions.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of acceleration, velocity, and altitude concepts
  • Familiarity with gravitational acceleration (9.81 m/s²)
  • Basic algebra for solving equations
NEXT STEPS
  • Calculate the time taken to reach 1500 meters using the equation x = x₀ + vt + 0.5at²
  • Determine the maximum altitude by analyzing the motion after fuel depletion
  • Calculate the total time to reach maximum altitude, including free fall
  • Find the velocity of the rocket just before impact with the Earth
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and projectile motion, as well as educators looking for practical examples of motion under gravity and acceleration.

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Homework Statement



A rocket rises vertically, from rest, with an acceleration of 4.0 until it runs out of fuel at an altitude of 1500 . After this point, its acceleration is that of gravity, downward.
How long does it take to reach this point?

What maximum altitude does the rocket reach?

How much time (total) does it take to reach maximum altitude?
With what velocity does the rocket strike the Earth
How long (total) is it in the air?

Homework Equations



x=x+vt+.5at^2

The Attempt at a Solution



I found velocity when it runs out of fuel to be 110m/s don't know how to get the rest??
 
Physics news on Phys.org
We need more units! I'm guessing acceleration of 4.0m/s and an altitude of 1500 meters?
 

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