Finding max height and speed before it hits the ground of a rocket

In summary, a model rocket is fired vertically upward with a constant acceleration of 40 m/s2. After 2.5 s, the engine is cut off and the rocket is in free fall. The maximum height it reaches is 635 m and the speed just before it hits the ground is 112 m/s. To solve this problem, you can use the kinematic equations and plug in the given data to find the appropriate equation.
  • #1
llach
3
0

Homework Statement



A model rocket initially at rest on the ground is fired vertically upward, and the engine thrust produces a constant acceleration a = 40 m/s2. After running for 2.5 s the engine is cut off and then the rocket is in free fall. (a) Find the maximum height that the rocket reaches. (b) Find the speed of the rocket just before it hits the ground.
Ans: (b) 635 m (c) 112 m/s
Note: The rocket travels with 40 m/s2 acceleration during the first 2.5 s (gravity effect included).


Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
  • #2
In the relevant equations, can you write the kinematic equations. And using the given data, you can select a proper equation to solve the problem.
 

1. What factors affect the maximum height and speed of a rocket?

The maximum height and speed of a rocket can be affected by several factors such as the thrust generated by the rocket's engine, the trajectory angle, the weight of the rocket, and air resistance.

2. How can the maximum height and speed of a rocket be calculated?

The maximum height and speed of a rocket can be calculated using the principles of projectile motion. By considering the initial velocity, acceleration due to gravity, and the angle of launch, the equations of motion can be used to determine the maximum height and speed of the rocket.

3. Is there a limit to the maximum height and speed a rocket can reach?

Yes, there is a limit to the maximum height and speed a rocket can reach. This is determined by the amount of fuel, the design of the rocket, and the laws of physics.

4. How does the shape of a rocket affect its maximum height and speed?

The shape of a rocket can affect its maximum height and speed by influencing the amount of air resistance it experiences. A streamlined shape can help reduce air resistance and allow the rocket to reach higher speeds and heights.

5. Can the maximum height and speed of a rocket be increased?

Yes, the maximum height and speed of a rocket can be increased by optimizing its design, improving the efficiency of its engine, and reducing air resistance. However, there are limitations based on the laws of physics that cannot be surpassed.

Similar threads

Model Rocket Launch: Maximum Height, Time, and Duration Calculations
    • Introductory Physics Homework Help
Replies
1
Views
926
Rocket acceleration problem: confused about Newton's 2nd Law
    • Introductory Physics Homework Help
2
Replies
42
Views
3K
Kinematics: find maximum height
    • Introductory Physics Homework Help
Replies
2
Views
3K
Hitting a rocket with a projectile
    • Introductory Physics Homework Help
2
Replies
53
Views
3K
What is the maximum stretch of the bungee and will the mass hit the ground?
    • Introductory Physics Homework Help
Replies
12
Views
1K
Determine when (m), and how long the rocket should fire.
    • Introductory Physics Homework Help
Replies
2
Views
810
Upward and downward movement of a rocket with the equation of motion
    • Introductory Physics Homework Help
Replies
13
Views
943
Forces - Space Shuttle Takeoff Calculations
    • Introductory Physics Homework Help
Replies
22
Views
2K
Oblique soccer shot calculation task
    • Introductory Physics Homework Help
2
Replies
38
Views
1K
Help with max rocket height. Heights differ with methods.
    • Introductory Physics Homework Help
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top