INT2067/INT5051 Problem Solving

Assignment 1
INT2067/INT5051 Introduction to Programming and Problem Solving
2024-2025 Semester 2
Due Date: February 23, 2025 (Sunday)
1 Introduction
In this assignment, you are required to write a program that calculates different quantities related to a projectile motion. The calculation could be useful in simulation 
and computer games.
2 Functional Requirements (70%)Your program should do the following:

1. [10%] Print a welcome message when the program starts.
2. [10%] Ask the following inputs from the user according to the sequence given below:
   a) Initial speed in meter per second; and
   b) Angle of projection in degree;The above two inputs can be real numbers.
3. [10%] Calculate and print the time of flight in seconds (see Section 4).
4. [10%] Calculate and print the range of motion in meters (see Section 4).
5. [20%] Calculate the horizontal displacement 𝑥 and vertical displacement 𝑦 in meters for six different time points in the motion. Suppose T is the time of 
   flight. The time points are 0, T/5, T/3, T/2, 3T/4, and 𝑇. The values should be given in a table format.
6. [10%] Round the values in the output for steps 3 and 4 to four decimal digits 
   and those for step 5 to two decimal digits properly. You should also align the columns to left, center, and right like a table, respectively.
7. Program Design and User Interface (30%)
   The following will also be considered when your assignment is graded.
   • [10%] The variable names should be sensible and the code should be tidy.
   • [10%] You should break down your program into code blocks with comments.
   • [10%] The output should be neat and the required information should be shown clearly. The text in the output should be correct and contain no spelling mistakes.
8. Projectile Motion CalculationConsider a projectile motion with initial speed u and angle of projection θ. Let g denote the standard gravity and assume g = 9.81 m/s2
   .• The time of flight 𝑇 is given by Equation (1):𝑇 =2 × 𝑢 × sin 𝜃𝑔• At time 𝑡 within the time of flight, the horizontal and vertical displacements, 
   𝑥 and 𝑦, are given by Equation (2) and (3):
   2• The range of motion 𝑟 can be given by computing the horizontal displacement when time equals time of flight, that is, by setting 𝑡 = 𝑇 in Equation (2).The above equations should allow you to compute all the required quantities in this assignment. However, if you want more explanation, you may refer to this page1
9. Hints
   To compute sin θ and cos θ, you may use the Python functions math.sin and 
   math.cos for trigonometric functions. However, those functions require an angle in 
   radians as parameter, so you will need to use the function math.radians to convert 
   an angle in degrees to one in radians.
   Refer to the documentation for the Python math module2
   for more information about 
   the above Python math functions.
10. Submission Requirements
    Your Python file should be named as assignment1.py. Submit only the Python file 
    assignment1.py through Moodle. Failure to submit the file properly will result in 
    a penalty of 5 to 20 marks.
11. https://www.coursehero.com/study-guides/boundless-physics/pro...
12. https://docs.python.org/3/library/math.html
    See Moodle for the exact time of the deadline for submission. Late submission is 
    usually not accepted. You should submit earlier to avoid possibly high traffic around 
    the deadline.

13. Plagiarism Policy
    The assignment should be done only by yourself. Every line of code should be written by you. The use of any artificial intelligence (AI) tools is NOT allowed in this assignment. Discussions on the assignment should be kept at a high-level only. You are suggested to refer your classmates to the relevant notes or lab exercises if you want to help them.You need to代 写 INT2067/INT5051  Problem Solving put down a declaration for having not used AI tools as comment at the beginning of your program file. For example, your declaration may look like this:# Declaration: this code is my own individual and original work without AI assistant.If you have used AI tools or consulted the assignment with anyone, you should provide an acknowledgment as comment at the beginning of your program file. Give 
    the names of all classmates that you have turned to. For example, your 
    acknowledgement may look like:

    Acknowledgement: I have asked Thomas, Gordon, and Emily for help.

    Acknowledgement: I have used AI tools (such as ChatGPT, gpt4o via POE, etc.) in 

    working on this assignment.
    If plagiarism is found, both the copier and originator will get zero mark for the 
    assignment. Repeat offenders may result in a deduction of the course grade.

14. Sample Input & Output
    Welcome to projectile motion calculator!
    Enter initial speed (m/s): 5↵
    Enter angle of projection (degree): 42↵
    Time of flight is 0.6821 seconds.
    Range of flight is 2.5345 meters.
    Time (s) x (m) y (m)
    0.00 0.00 0.00
    0.14 0.51 0.37
    0.23 0.84 0.51
    0.34 1.27 0.57
    0.51 1.90 0.43
    0.68 2.53 0.00
    WX：codinghelp