Pregunta
upstudy study bank question image url

A model rocket blasis off from rest and moves upward with an acceleratlon of until it reaches a helg)
26 m , at which point the engine shuts off and it continue the night in freo fall,
a. What is the velocity of the rocket when the engine shuts off? Ans: ( )
b. How long, after the rocket shuts down, is the velocity of the rocket down ? Ans:

Ask by Williams Wells. in South Africa
Mar 25,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

a. The velocity of the rocket when the engine shuts off is approximately .
b. After the engine shuts off, it takes about for the rocket’s velocity to decrease to .

Solución

  1. Rocket’s velocity at engine shut-off
    The rocket starts from rest and accelerates upward with a constant acceleration over a displacement . Using the kinematic equation
    where , we have
    Taking the square root of both sides yields
  2. Time for the velocity to become after engine shutdown
    After engine shut-off, the only acceleration acting on the rocket is due to gravity, which is downward. Taking upward as the positive direction, the acceleration is
    The initial velocity at the start of the free-fall phase is upward. We are to find the time when the velocity becomes (i.e. downward). We use the velocity-time relation
    Substituting the known values,
    Solving for :

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

Beyond the Answer

Isn’t it fascinating how physics and rocket science coalesce into a spectacular display? In the historical race to the skies, model rockets ignite a passion that harkens back to the early pioneers of rocketry like Robert Goddard, who launched the first liquid-fueled rocket in 1926. This bold mission propelled us into an age of exploration and discovery, much like our own small-scale experiments with model rockets.
Now, let’s ensure we ditch those pesky missteps while timing the rocket’s descent! One common mistake is neglecting to separate the two phases of the flight: powered ascent and free fall. Ensure you calculate the time during each phase distinctly. Remember, after the engine cuts off, the only force acting on the rocket is gravity, which slows it down at . Keep track of your units, and you’ll be flying high without any snags!

preguntas relacionadas

Latest Physics Questions

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad