Pregunta
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:
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
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
-
Rocket’s velocity at engine shut-offThe 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 -
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 isdownward. Taking upward as the positive direction, the acceleration is The initial velocity at the start of the free-fall phase isupward. 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
Como
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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!

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