About Lesson

__Projectile Motion__

An object that becomes airborne after it is thrown or projected is called **projectile**. Example, football, javelin throw, etc.

Quantity |
Value |

Components of velocity at time t | v_{x} = v_{0} cosθ_{0}v_{y} = v_{0} sinθ_{0}–gt |

Position at time t | x = (v_{0} cosθ_{0})ty = (v_{0} sinθ_{0})t – ½ gt^{2} |

Equation of path of projectile motion | y = (tan θ_{0})x – gx^{2}/2(v_{0} cosθ_{0})^{2} |

Time of maximum height | t_{m} = v_{0} sinθ_{0} /g |

Time of flight | 2 t_{m} = 2 (v_{0} sinθ_{0} /g) |

Maximum height of projectile | h_{m} = (v_{0} sinθ_{0})^{2}/2g |

Horizontal range of projectile | R = v_{0}^{2} sin 2θ_{0}/g |

Maximum horizontal range (θ_{0}=45°) |
R_{m} = v_{0}^{2}/g |