Two dimensional kinematics and projectile motion - Kinematics

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Two dimensional kinematics and projectile motion



Shortcut: Level Range Formulas for projectile returning to its original height:
  • horizontal range: dx=vi2sin2θgd_x = \frac{v_i^2 \cdot sin2\theta}{g}
  • time of flight: t=2visinθg t=\frac{2v_i \cdot sin\theta }{g}
  • 1.
    Type 1 – Projectile at an Upward Angle
    A projectile is launched from the edge of a cliff 100 m above ground level with an initial speed of 20 m/s at an angle of 35° above the horizontal. Find:
    projectile launched off cliff
  • 2.
    Type 2 – Projectile at a Downward Angle
    A hammer slides down a roof sloped at 35° reaching a speed of 6.2 m/s before falling off.
    hammer slides down roof
  • 3.
    Type 3 – Horizontally Launched Projectile
    A ball rolls off a cliff at 8 m/s and hits the ground with a speed of 25 m/s.
    ball rolling off cliff
  • 5.
    Projectile Returning to the Same Height – Level Range Formulas
    A football is kicked at an angle 65° with a velocity of 18 m/s. Determine the football's range and time of flight:
    kicking a football
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Two dimensional kinematics and projectile motion

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