When the rocket is fired upward then the height of the rocket is defined by
When a rocket is fired upward, the height of the rocket is determined by its initial velocity, the force of gravity acting on it, and the time elapsed since it was fired. This can be calculated using the equations of motion for objects in free fall.
To calculate the height of the rocket, you will need to follow these steps:
1. Determine the initial velocity of the rocket: This is the velocity at which the rocket is launched. It can be obtained from the specifications of the rocket or measured using equipment like radar guns.
2. Note the acceleration due to gravity: The acceleration due to gravity on Earth is approximately 9.8 meters per second squared (m/s^2). In this case, gravity acts in the opposite direction to the rocket's motion and causes it to slow down.
3. Measure the time elapsed since the rocket was fired: This can be done using a stopwatch or other time-measuring devices. It is crucial to start the timer at the moment the rocket is launched.
4. Apply the equations of motion: In this case, the relevant equation is the second equation of motion, which relates the height of the rocket to the initial velocity, time, and acceleration due to gravity. The equation is:
h = v₀t + (1/2)at²
Where:
- h is the height of the rocket
- v₀ is the initial velocity of the rocket
- t is the time elapsed since the rocket was launched
- a is the acceleration due to gravity
5. Plug in the values: Substitute the known values into the equation. The initial velocity and acceleration due to gravity can be constant for a given situation, and the time elapsed is measured.
6. Solve for the height: Use the equation to calculate the height of the rocket by substituting the values obtained in the previous step.
By following these steps and using the appropriate equations, you can determine the height of a rocket fired upward.