plClass initialisationease use python

a$)$Class initialisation

Set up a class Projectile which takes in an angle in degrees, velocity and height at launch and converts this data to class attributes xpos, ypos, xvel and yvel. If you need any further information, define it appropriately.

b$)$ Returning information about the class

Add two helper functions to your class. One to return the x position of the projectile, the other to return the y position.

c$)$ Introducing the dynamics

Now add a method to your class which steps forward by $\backslash$Delta t$.$ Use a simple Euler forward step in this update function. The equations of motion in the x and y directions are:

$d^2\frac{x}{d}{t}^2=0,d^2$y$/$d$t^2=-g,$

where $g=9\mathrm{.}8\frac{m}{s^2}.$ Call your function update and have it accept a single parameter $t.$

Amendment Some further information may be helpful here. The speed of a projectile in the $x$ direction is given by $\frac{dx}{dt}($let$\text{'}$s call it $v),$ while the speed in the $y$ direction is given by $\frac{dy}{dt}($let$\text{'}$s call it $w).$ To 'solve' this problem over one time step, we need to carry out the following steps:

Write the equations as a system of first$-$order ODEs

Represent each ODE in finite difference form, e$.$g$.\frac{dx}{dt}=v$ becomes

$x_{n+1}=x_n+t{v}_n$

where $x$ and $v$ are two dependent variables

Start the map off by specifying the initial conditions, i$.$e$.(x_0,v_0,y_0,w_0).$ You are asked to write a method which steps these dependent variables forward by one step $t.$

d$)$ Solving a problem with the class

With an initial angle of $30$ degrees, an initial speed of $10\frac{m}{s}$ and a height of $2$ metres, how far has the projectile travelled $($in the $x$ direction$)$ when it hits the

ground