Help me write a python code to

$x(t)=x_0+v_{0}tcos{}_0[m]$

$y(t)=y_0+v_{0}tsin{}_0+0\mathrm{.}5g{t}^2[m]$

with the launch angle given in radians and time given in seconds. Assume $x_0=0m,y_0=0m,$ and $v_0$ is $12\mathrm{.}5\frac{m}{s}$ and note that the acceleration due to gravity $(g)$ equals $-9\mathrm{.}81\frac{m}{s^2}.$ You can also assume that nothing will interfere with the motion of the projectile.

a$.$ Ask the user to input the launch angle in radians. Use an explanatory prompt and assign the value of the launch angle to a variable named thetaO.

b$.$ Assume that the user enters $\frac{}{4}$ as the launch angle, determine the values of $x(t)$ and $y(t)$ at time, $t=0\mathrm{.}0,0\mathrm{.}1,0\mathrm{.}2,0\mathrm{.}3,$ and $0\mathrm{.}4$ sec using Python as a calculator$).$ Round the values to $4$ digits after the decimal point and list the values in a comment $($or comments$)$ in the Task $2$ section of your Python file, $.$py$.$ Make sure to explain the values in the comment$($s$).($See help elfun for help with rounding$)$

c$.$ Define an array named $t$ starting with $0$ sec $.$ and ending with $5$ sec $.$ with increments of $0\mathrm{.}1$ sec $.$

d$.$ Using a for loop, calculate the position of the projectile for initial position and velocity values, as given above, and the user$-$specified launch angle $($not $\frac{}{4}).$

Note that you can $($and should$)$ test your script and check your position values by entering a value of $\frac{}{4}$ as the launch angle and comparing the first five values to the values you determined in part b above, but the script should be written to handle any launch angle value the user inputs.

$x(t)=x_0+v_{0}tcos{}_0[m]$

$y(t)=y_0+v_{0}tsin{}_0+0\mathrm{.}5g{t}^2[m]$

with the launch angle given in radians and time given in seconds. Assume $x_0=0m,y_0=0m,$ and $v_0$ is $12\mathrm{.}5\frac{m}{s}$ and note that the acceleration due to gravity $(g)$ equals $-9\mathrm{.}81\frac{m}{s^2}.$ You can also assume that nothing will interfere with the motion of the projectile.

a$.$ Ask the user to input the launch angle in radians. Use an explanatory prompt and assign the value of the launch angle to a variable named thetaO.

b$.$ Assume that the user enters $\frac{}{4}$ as the launch angle, determine the values of $x(t)$ and $y(t)$ at time, $t=0\mathrm{.}0,0\mathrm{.}1,0\mathrm{.}2,0\mathrm{.}3,$ and $0\mathrm{.}4$ sec using Python as a calculator$).$ Round the values to $4$ digits after the decimal point and list the values in a comment $($or comments$)$ in the Task $2$ section of your Python file, $.$py$.$ Make sure to explain the values in the comment$($s$).($See help elfun for help with rounding$)$

c$.$ Define an array named $t$ starting with $0$ sec $.$ and ending with $5$ sec $.$ with increments of $0\mathrm{.}1$ sec $.$

d$.$ Using a for loop, calculate the position of the projectile for initial position and velocity values, as given above, and the user$-$specified launch angle $($not $\frac{}{4}).$

Note that you can $($and should$)$ test your script and check your position values by entering a value of $\frac{}{4}$ as the launch angle and comparing the first five values to the values you determined in part b above, but the script should be written to handle any launch angle value the user inputs.