Rocket trajectory in vertical launch then free fall

In summary, during a vertical launch, a rocket's trajectory changes as it moves through different stages, starting straight up and then curving to gain horizontal velocity for orbit. Factors such as gravity, air resistance, and external forces affect the trajectory during free fall, but it can be controlled to some extent with adjustments to the fins or thrusters. As a rocket re-enters the Earth's atmosphere, its trajectory changes dramatically due to gravity and air resistance, and computer simulations are used to predict and optimize the trajectory for a safe and successful launch.
  • #1
jontyjashan
68
0

Homework Statement


A rocket is launched to travel vertically upward with a constant velocity of say...20 m/s.After
travelling maybe 35 s the rocket develops snag and its fuel supply is cut off. the rocket then travels like a free body, the height achieved by the rocket will be



Homework Equations


displacement=velocity *time

The Attempt at a Solution


20 *35=700m

this is not the answer why?
 
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  • #2


you add to that the extra displacement the rocket travels as a free body till the point where its velocity reachs [0 m/s]
 
  • #3


I appreciate your attempt at using the displacement formula to determine the height achieved by the rocket. However, there are a few key factors that need to be considered in order to accurately determine the height achieved by the rocket in this scenario.

Firstly, the initial velocity of 20 m/s is not constant throughout the entire 35 seconds. As the rocket travels upward, it will experience a decrease in velocity due to the effects of gravity and air resistance. Therefore, the average velocity during the 35 seconds will be less than 20 m/s.

Secondly, the rocket will not continue to travel at the same velocity once its fuel supply is cut off. Instead, it will start to decelerate due to the force of gravity pulling it back down towards the ground. This means that the rocket will not continue to travel at a constant velocity during its free fall.

Lastly, the rocket will also experience air resistance during its free fall, which will further affect its velocity and trajectory.

To accurately determine the height achieved by the rocket, we would need to take into account all of these factors and use principles of physics such as kinematics and dynamics to calculate the final height. This would involve considering the rocket's initial velocity, acceleration due to gravity, air resistance, and the time it takes for the rocket to reach its maximum height before falling back down to the ground.

In conclusion, while the displacement formula can be useful in certain scenarios, it is not sufficient to accurately determine the height achieved by the rocket in this situation. A more comprehensive analysis using principles of physics would be necessary to provide a more accurate answer.
 

1. How does a rocket change its trajectory in a vertical launch?

During a vertical launch, a rocket's trajectory changes as it moves through different stages. Initially, the rocket moves straight up, with the engines providing upward thrust. As it gains altitude, the rocket starts to tilt slightly to the side, following a curved path. This is because the rocket needs to gain horizontal velocity in order to enter orbit.

2. What factors affect the trajectory of a rocket during free fall?

The trajectory of a rocket during free fall is affected by several factors, including the force of gravity, air resistance, and any external forces acting on the rocket. The shape and weight distribution of the rocket also play a role in determining its trajectory.

3. Can a rocket's trajectory be controlled during free fall?

Yes, a rocket's trajectory during free fall can be controlled to some extent. By adjusting the angle of the rocket's fins or using small thrusters, the rocket can be steered in a certain direction. However, the force of gravity will still have a significant impact on the trajectory.

4. How does a rocket's trajectory change as it re-enters the Earth's atmosphere?

As a rocket re-enters the Earth's atmosphere, its trajectory changes dramatically. The force of gravity and air resistance cause the rocket to slow down and start to descend in a steep angle. The shape and materials of the rocket are designed to withstand the intense heat and pressure of re-entry.

5. What is the role of computer simulations in predicting rocket trajectories?

Computer simulations play a crucial role in predicting rocket trajectories. By inputting data such as the rocket's weight, shape, thrust, and external factors, scientists and engineers can use simulations to predict the trajectory of a rocket in different scenarios. This helps to optimize the design and ensure a safe and successful launch.

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