Model Rocket Launch: Maximum Height, Time, and Duration Calculations

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SUMMARY

The discussion focuses on calculating the maximum height, time to reach maximum height, and total duration of a model rocket launched with an initial speed of 50.0 m/s and a constant upward acceleration of 1.50 m/s² until it reaches an altitude of 110 m. The key kinematic equations are utilized to solve for the rocket's maximum height and the time intervals for its ascent and descent. Participants emphasize the importance of breaking the problem into two distinct phases: the powered ascent to 110 m and the subsequent free flight to the maximum height.

PREREQUISITES
  • Understanding of kinematic equations, specifically the "big four" equations.
  • Basic knowledge of physics concepts related to motion and acceleration.
  • Ability to sketch and interpret motion diagrams.
  • Familiarity with units of measurement in physics, particularly meters and seconds.
NEXT STEPS
  • Study the application of kinematic equations in projectile motion.
  • Learn how to calculate time of flight for objects under constant acceleration.
  • Explore the concept of free fall and its equations after powered ascent.
  • Practice solving similar problems involving model rockets or other projectile motion scenarios.
USEFUL FOR

Students studying physics, educators teaching kinematics, and hobbyists interested in model rocketry and its calculations.

Zacharrry
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Homework Statement


A model rocket is launched straight upward with an initial speed of 50.0 m/s. It accelerates with a constant upward acceleration of 1.50 m/s2 until its engines stop at an altitude of 110 m.
(a) What is the maximum height reached by the rocket?
(b) How long after lift-off does the rocket reach its maximum height?
(c) How long is the rocket in the air?

Homework Equations


One of the "big four" kinematics equations.

The Attempt at a Solution


I am having difficult setting the problem up and finding an answer for each of the questions.
 
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Consider the two parts of flight separately.

For the first part you need to find the time and the speed at 110 m

When you have that speed, you can tackle the second part of the flight and find that time.

I would sketch a diagram and mark in what you know and what you need to know at the specified points - ground, 110 m and top.
 

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