Solving Missile Motion Problems: Answers & Explanations

In summary, the problem involves a missile being launched with an initial velocity of 85 m/s at an angle of 30 degrees from the horizontal. The first question asks for the time it takes for the missile to reach the highest point, which can be solved using the formula tf = -2 Voy sin teta / g. The second question asks for the maximum height reached by the missile, which can be solved using the formula v = v_0 + a t. The third question asks for the total horizontal distance traveled by the missile until it hits the ground, which can be solved using various kinematic formulas provided in the link.
  • #1
malay ko
1
0

Homework Statement


A missile is fired with an initial velocity of 85 m/s at an angle of 30 degrees from the horizontal.

A) After how many seconds will the missile reach the highest point?
B) What is the maximum height reached by the missile?
C) Calculate the total horizontal distance traveled by the missile until it hits the ground.


Homework Equations



teta = arc tangent Voy/Vox

Vfx = Vocoy teta t

tf = -2 Voy sin teta / g

The Attempt at a Solution



A) tf = -2 Voy sin teta / g
= -2 (85m/s) (sin 30) / 9.81m/s^2
= -85m/s / 9.81m/s^2
= -8.66 s

B and C i don't know which formula to use
 
Physics news on Phys.org
  • #2
malay ko said:
tf = -2 Voy sin teta / g

The Attempt at a Solution



A) tf = -2 Voy sin teta / g
= -2 (85m/s) (sin 30) / 9.81m/s^2
= -85m/s / 9.81m/s^2
= -8.66 s
Apply the following formula to the vertical motion:
[tex]v = v_0 + a t[/tex]
B and C i don't know which formula to use
Some useful kinematic formulas are summarized here: https://www.physicsforums.com/showpost.php?p=905663&postcount=2"
 
Last edited by a moderator:
  • #3


I would like to provide some feedback and suggestions on your attempt at solving the missile motion problem.

Firstly, it is important to clearly define the problem and the given information. In this case, we are given the initial velocity (85 m/s) and the angle (30 degrees) at which the missile is fired. We can assume that the missile is fired from ground level, and that there is no air resistance affecting its motion.

Secondly, it is important to choose the appropriate equations to use. In this case, we can use the equations of projectile motion to solve for the time taken for the missile to reach the highest point (A), the maximum height reached (B), and the total horizontal distance traveled (C).

For part A, we can use the equation tf = -2 Voy sin teta / g to solve for the time taken for the missile to reach the highest point. However, it is important to note that the time calculated using this equation is the total time of flight, which includes both the upward and downward parts of the motion. To find the time taken for the missile to reach the highest point, we can divide this total time by 2.

For part B, we can use the equation hmax = (Voy)^2 sin^2 teta / 2g to calculate the maximum height reached by the missile. This equation can be derived from the equation for the height of a projectile (h = Voyt + 1/2gt^2) by setting the vertical velocity (Voy) to 0 at the highest point.

For part C, we can use the equation dx = Vox t to calculate the total horizontal distance traveled by the missile. Here, dx represents the horizontal distance, Vox represents the initial horizontal velocity (which can be calculated using the equation Vox = Vocos teta), and t represents the total time of flight (calculated in part A).

It is important to note that these equations assume a flat and level ground, and do not take into account any external factors such as air resistance or wind. In reality, these factors can affect the actual motion of the missile.

In conclusion, as a scientist, it is important to accurately define the problem, choose appropriate equations, and consider any limitations or assumptions in order to solve real-world problems.
 

1. What is the purpose of solving missile motion problems?

The purpose of solving missile motion problems is to accurately predict the trajectory and behavior of missiles in flight. This is important in the development and deployment of missiles for military, scientific, and commercial purposes.

2. What are the key factors to consider when solving missile motion problems?

The key factors to consider when solving missile motion problems include the initial velocity, angle of launch, air resistance, gravity, and any external forces acting on the missile. It is also important to consider the type and shape of the missile, as well as the surrounding environment.

3. How are missile motion problems solved?

Missile motion problems can be solved using mathematical equations and principles, such as the laws of motion and projectile motion. These equations can be solved using algebra, trigonometry, and calculus. Computer simulations and experimental data can also be used to solve these problems.

4. What are some common challenges when solving missile motion problems?

Some common challenges when solving missile motion problems include accounting for the complex aerodynamics of the missile, accurately measuring and accounting for air resistance, and dealing with non-uniform environments and external forces. Additionally, solving these problems can be time-consuming and require advanced mathematical skills.

5. How can understanding missile motion problems be beneficial?

Understanding missile motion problems can be beneficial in various fields, such as military strategy and defense, aerospace engineering, and physics. It can also aid in the design and development of more efficient and accurate missiles, as well as improve safety and effectiveness in their use.

Similar threads

  • Introductory Physics Homework Help
Replies
6
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
33
Views
3K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
19
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
5K
  • Introductory Physics Homework Help
Replies
4
Views
5K
  • Introductory Physics Homework Help
Replies
3
Views
2K
  • Introductory Physics Homework Help
Replies
13
Views
2K
Back
Top