import math

GRAVITY $=32\mathrm{.}1522$

print$("$Welcome to the Angry Birds aimbot! Go pig or go home!"$)$

# STEP $1$

print$("$What is the bird's initial velocity?"$)$

# Get the bird's initial velocity as input

init$\_$velocity $=$ float$($input$())$

print$("$What is the bird's launch angle in degrees?"$)$

# Get the bird's launch angle as input

launch$\_$angle$\_$degrees $=$ float$($input$())$

# Convert launch angle from degrees to radians

launch$\_$angle$\_$radians $=$ math.radians$($launch$\_$angle$\_$degrees$)$

print$("$What is the height of the slingshot in feet?"$)$

# Get the height of the slingshot as input

slingshot$\_$height $=$ float$($input$())$

$"""$

CALCULATE the duration of the flight in seconds

find the time it takes for the bird to hit the ground by

multiplying $2$ times the initial velocity times the sin of the launch angle in radians.

Divide all of that by GRAVITY and store it into a value called time

$"""$

time $=(2*$ init$\_$velocity $*$ math.sin$($launch$\_$angle$\_$radians$))/$ GRAVITY

$"""$

CALCULATE the maximum horizontal distance

by multiplying the initial velocity by the cosine of the launch angle in radians by the time calculated from the previous step

Store it into a variable called distance

$"""$

distance $=$ init$\_$velocity $*$ math.cos$($launch$\_$angle$\_$radians$)*$ time

# Calculate the maximum height

max$\_$height $=$ slingshot$\_$height $+((($init$\_$velocity $*$ math.sin$($launch$\_$angle$\_$radians$))**2)/(2*$ GRAVITY$))$

# PRINT the outputs of the code using these print statements $($fill in the blanks$),$ truncated to two decimal places:

print$($f$"$Duration of flight: $\{$time:$\mathrm{.}2$f$\}$ seconds"$)$

print$($f$"$Bird$\text{'}$s maximum horizontal distance: $\{$distance:$\mathrm{.}2$f$\}$ feet"$)$

print$($f$"$Max height of the bird: $\{$max$\_$height:$\mathrm{.}2$f$\}$ feet"$)$

# STEP $2$

print$("$Enter the x$-$coordinate of the pig:"$)$

# GET the pig's x$-$coordinate as input

x$1=$ float$($input$())$

print$("$Enter the y$-$coordinate of the pig:"$)$

# GET the pig's y$-$coordinate as input

y$1=$ float$($input$())$

# CALCULATE the straight$-$line distance from the bird & slingshot to the pig

# Use the distance formula with the points $($x$-$coordinate of the pig, y$-$coordinate of the pig$)$ and $(0,$ slingshot height$)$

straight$\_$line$\_$distance $=$ math.sqrt$(($x$1-0)**2+($y$1-$ slingshot$\_$height$)**2)$

# PRINT the results. Replace X with the calculated numbers. Truncate the output to two decimal places:

print$($f$"$Straight$-$line distance to the pig:$\{$straight$\_$line$\_$distance:$\mathrm{.}2$f$\}$ feet"$)$

# This is the time when the bird is directly over the pig $($x$1,$ y$1)$

time$\_$pig$1=$ x$1/($init$\_$velocity $*$ math.cos$($launch$\_$angle$\_$radians$))$

# This is the y$-$position of the bird at the time it is directly over pig

y$\_$pig$1=$ slingshot$\_$height $+($init$\_$velocity $*$ math.sin$($launch$\_$angle$\_$radians$)*$ time$\_$pig$1)-(0\mathrm{.}5*$ GRAVITY $*$ time$\_$pig$1**2)$

y$\_$pig$1\_$dist$\_$above $=$ y$\_$pig$1-$ y$1$

# PRINT the results. Fill in the blanks with the calculated numbers. Truncate the output to two decimal places $(0\mathrm{.}02,12\mathrm{.}44,$ etc.$)$

print$($f$"$The bird will be over the pig at time $\{$time$\_$pig$1$:$\mathrm{.}2$f$\}$ seconds. The bird will be $\{$y$\_$pig$1\_$dist$\_$above:$\mathrm{.}2$f$\}$ feet above the pig."$)$

# STEP $3$

print$("$Enter the time in seconds to calculate the bird's position:"$)$

# GET the time as input

t $=$ float$($input$())$

# These are the x and y coordinates of the bird at the inputted time

x$\_$at$\_$inputted$\_$time $=$ init$\_$velocity $*$ math.cos$($launch$\_$angle$\_$radians$)*$ time

y$\_$at$\_$inputted$\_$time $=$ slingshot$\_$height $+($init$\_$velocity $*$ math.sin$($launch$\_$angle$\_$radians$)*$ time$)-(0\mathrm{.}5*$ GRAVITY $*$ time$**2)$

# PRINT the time that was provided by the user and the coordinates of the pig at that time

# DO NOT TRUNCATE the value of the inputted time, but TRUNCATE the x and y coordinates at that time using $2$ decimal places

print$($f$"$Coordinates of bird at $\{$t$\}$ seconds: $(\{$x$\_$at$\_$inputted$\_$time:$\mathrm{.}2$f$\},\{$y$\_$at$\_$inputted$\_$time:$\mathrm{.}2$f$\})")$