app.py

import streamlit as st
import numpy as np
from abc import ABC, abstractmethod
import matplotlib.pyplot as plt

class RhinoDisplacement(ABC):
    @abstractmethod
    def displacement(self, time):
        pass

class AcceleratingRhino(RhinoDisplacement):
    def __init__(self, acceleration):
        self.acceleration = acceleration

    def displacement(self, time):
        return 0.5 * self.acceleration * time**2

class RhinoMeetingTime(ABC):
    @abstractmethod
    def calculate_meeting_time(self, acceleration, speed, distance):
        pass

class CalculateMeetingTime(RhinoMeetingTime):
    def calculate_meeting_time(self, acceleration, speed, distance):
        a = 0.5 * acceleration
        b = speed
        c = -distance
        discriminant = b**2 - 4 * a * c
        if discriminant < 0:
            return None
        time = (-b + np.sqrt(discriminant)) / (2 * a)
        return time

class RhinoDisplacementPlot(ABC):
    @abstractmethod
    def plot_displacement(self):
        pass

class DisplacementVisualization(RhinoDisplacementPlot):
    def __init__(self, accelerating_rhino, constant_speed_rhino, meeting_time):
        self.accelerating_rhino = accelerating_rhino
        self.constant_speed_rhino = constant_speed_rhino
        self.meeting_time = meeting_time

    def plot_displacement(self):
        fig, ax = plt.subplots()
        times = np.linspace(0, self.meeting_time, 100)
        disp_acc = [self.accelerating_rhino.displacement(t) for t in times]
        disp_const = [self.constant_speed_rhino.displacement(t) for t in times]
        ax.plot(times, disp_acc, label='Accelerating Rhino')
        ax.plot(times, disp_const, label='Constant Speed Rhino')
        ax.annotate('Accelerating rhino = 400 m', (self.meeting_time, disp_acc[-1]),
                    textcoords="offset points", xytext=(0, 10), ha='center')
        ax.annotate('Constant speed Rhino = 1200 m', (self.meeting_time, disp_const[-1]),
                    textcoords="offset points", xytext=(0, 10), ha='center')
        ax.set_xlabel('Time (s)')
        ax.set_ylabel('Displacement (m)')
        ax.legend()
        return fig

def main():
    st.title("Rhino Meeting Displacement Calculator")
    st.image("rhinos_0.png", caption='Rhinos Charging Towards One Another 0')
    acceleration = st.number_input("Acceleration of the first rhino (m/s^2)", value=1/8)
    speed = st.number_input("Speed of the second rhino (m/s)", value=15)
    distance = st.number_input("Initial distance between the rhinos (m)", value=1600)

    if st.button("Generate Rhinos Charging Towards One Another Motion Graph Problem"):
        st.write("Two rhinos initially 1600 m apart, begin running directly toward one another at the same time. One rhino uniformly accelerates from rest at 1/8 m.s^2, while the other rhino runs with a constant speed of 15 m/s. What is the net displacement of each rhino when they meet?")

    if st.button("Formulations Required For Solving Problem"):
        st.latex(r'Accelerating rhino: s_1(t) = \frac{1}{2}at^2')
        st.latex(r'Constant speed rhino: s_2(t) = vt')
        st.latex(r'Total Distance Covered by both rhinos: 1600 meters')
        st.latex(r'Utilize form ax^2 + bx + c = 0')
        st.latex(r'a = \frac{1}{2}\frac{1}{16}t^2')
        st.latex(r'b = 15 m/s')
        st.latex(r'\frac{1}{16}t^2 + 15t = 1600')
        st.latex(r'c= -1600')
        st.latex(r'\Delta = b^2 - 4ac = 15^2 - 4\frac{1}{16}1600 = 225 + 400 = 625')
        st.latex(r'Solve for t: t = \frac{-15+-\sqrt(625)}{\frac{1}{8}} = \frac{-15 +- 25}{\frac{1}{8}}')
        st.latex(r'Positive solution: t = \frac{10}{\frac{1}{8}} = 80 seconds')
        st.latex(r'Accelerating rhino s_1(t) = s_1(80) = \frac{1}{2}\frac{1}{8}80^2 = \frac{1}{16}6400 = 400 meters')
        st.latex(r'Constant speed rhino s_2(t) = s_2(80) = 15 * 80 = 1200 meters')

    if st.button("Calculate"):
        calc_meeting_time = CalculateMeetingTime()
        time = calc_meeting_time.calculate_meeting_time(acceleration, speed, distance)

        if time is not None:
            accelerating_rhino = AcceleratingRhino(acceleration)
            constant_speed_rhino = ConstantSpeedRhino(speed)

            disp_acc = accelerating_rhino.displacement(time)
            disp_const = constant_speed_rhino.displacement(time)

            st.write(f"Time to meet: {time:.2f} seconds")
            st.write(f"Displacement of accelerating rhino: {disp_acc:.2f} meters")
            st.write(f"Displacement of constant speed rhino: {disp_const:.2f} meters")
            visualization = DisplacementVisualization(accelerating_rhino, constant_speed_rhino, time)
            fig = visualization.plot_displacement()
            st.pyplot(fig)
        else:
            st.write("The rhinos will never meet under these conditions.")

        st.image("rhinos_1.png", caption='Rhinos Charging Towards One Another 1')

if __name__ == "__main__":
    main()