Solving a 1974 kg Weather Rocket Mystery

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SUMMARY

The discussion revolves around calculating the acceleration of a 1974 kg weather rocket during its initial launch phase and its speed at an altitude of 7242 m. The rocket experiences a constant acceleration for 20.27 seconds before the motor stops, after which it is subject to gravitational acceleration. To solve the problem, one must apply the equations of motion under constant acceleration, specifically using the kinematic equations to determine the initial acceleration and final velocity at the specified altitude.

PREREQUISITES
  • Understanding of kinematic equations for motion under constant acceleration
  • Knowledge of gravitational acceleration (g = 9.81 m/s²)
  • Ability to perform algebraic manipulations to solve for unknowns
  • Familiarity with basic physics concepts related to projectile motion
NEXT STEPS
  • Review the kinematic equations: \( s = ut + \frac{1}{2}at^2 \) and \( v = u + at \)
  • Learn how to apply the concept of free fall and the effects of gravity on motion
  • Explore problems involving multi-phase motion, such as splicing different acceleration phases
  • Study the implications of neglecting air resistance in projectile motion scenarios
USEFUL FOR

Physics students, educators, and anyone interested in solving problems related to motion under constant acceleration, particularly in the context of rocketry and projectile dynamics.

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Lost please help!

A 1974 kg weather rocket is launched straight up. The rocket motor provides a constant acceleration for 20.27 s, then the motor stops. The rocket altitude 23.94 s after launch is 7242. You can ignore any effects of air resistance.

What was the rocket's acceleration during the first 20.27 s?
What is the rocket's speed as it passes through a cloud 7242 m above the ground?
 
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The rocket is under a constant acceleration (call it 'a') during the first part of the trip (the first 20.27 secs), and under a constant acceleration of -g thereafter. You just have to splice these two solutions together. What equations do you know that govern motion under constant acceleration?
 

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