Projectile Motion Problems

Projectile Motion.ipynb

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   "source": [
    "# Projectile Motion / Angled: Problems I"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
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    {
     "data": {
      "text/plain": [
       "vy (generic function with 1 method)"
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   "source": [
    "g = 9.81\n",
    "\n",
    "# Distance\n",
    "dx(v0, θ, t) = v0 * cos(deg2rad(θ)) * t\n",
    "dy(v0, θ, t) = v0 * sin(deg2rad(θ)) * t - 0.5 * g * t^2\n",
    "\n",
    "# Velocity\n",
    "vx(v0, θ, t) = v0 * cos(deg2rad(θ))\n",
    "vy(v0, θ, t) = v0 * sin(deg2rad(θ)) - g * t"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Problem 1 \n",
    "\n",
    "A soccer ball is kicked from the ground with an initial speed of 12 m/s at an angle of 32 degrees above the horizontal. What are the x and y positions of the ball 0.50 s after it is kicked?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
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     "execution_count": 2,
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   "source": [
    "v0 = 12\n",
    "θ = 32\n",
    "t = 0.50\n",
    "\n",
    "dx(v0, θ, t), dy(v0, θ, t)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Problem 2\n",
    "\n",
    "A soccer ball is kicked from the ground with an initial speed of 12 m/s at an angle of 32 degrees above the horizontal. What are the x and y components of the ball's velocity 0.50 s after it is kicked?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
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     "execution_count": 3,
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     "output_type": "execute_result"
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   ],
   "source": [
    "v0 = 12\n",
    "θ = 32\n",
    "t = 0.50\n",
    "\n",
    "vx(v0, θ, t), vy(v0, θ, t)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Problem 3\n",
    "\n",
    "A softball is thrown from the origin of an x-y coordinate system with an initial speed of 18 m/s at an angle of 35<sup>o</sup> above the horizontal. Find the x and y positions of the ball at 0.50 s."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
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     "execution_count": 4,
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   ],
   "source": [
    "v0 = 18\n",
    "θ = 35\n",
    "t = 0.50\n",
    "\n",
    "dx(v0, θ, t), dy(v0, θ, t)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Problem 4\n",
    "\n",
    "A softball is thrown from the origin of an x-y coordinate system with an initial speed of 18 m/s at an angle of 35<sup>o</sup> above the horizontal. Find the x and y positions of the ball at 1.50 s."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "v0 = 18\n",
    "θ = 35\n",
    "t = 1.50\n",
    "\n",
    "dx(v0, θ, t), dy(v0, θ, t)"
   ]
  }
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