lecture06

# lecture06 - 2 and 3 DIMENSIONAL MOTION dr v dt Constant...

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2 and 3 DIMENSIONAL MOTION dt r d v dt d a v 2 0 2 0 0 2 0 0 v v 2 2 v v r v v 2 v r a t t a t a t r r 0 t t t Constant acceleration

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The trajectory of an object projected with an initial velocity at the angle above the horizontal with negligible air resistance. 0 v 0 Projectile Motion
a) 2.5 s b) 5.0 s c) 10 s d) 20 s e) 40 s Example: A projectile is fired from a cannon at a 30-degree angle with the ground and an initial velocity of 100 m/s. Assuming no air resistance and g = 10 m/s 2 , calculate the time it will spend in the air. x y θ = 30 v 0 = 100 m/s y final = 0 2 0 1 00 s i n 2 vt g t    2 2100 m/s sin30 10 s 10 m/s  2 1 2 yy y yv a 0 0 (start!) 2 sin v

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0 v g y x   sin cos , 0 0 0 0 0 0 0 v v v v v v v y x y x x y y x v v v v v 0 0 2 0 2 0 0 tan gt v v v v gt t v y t v x y y x x y x 0 0 2 0 0 2 2 2 0 0 0 0 2 : x v g x v v y Tragectory v x t x x y x Example  g v x g v g v g v v x g v t and t y x x y x y 2 0 max 2 0 2 0 0 0 max 0 0 max max 45 2 sin cos sin 2 2 2 , 0 0 
Shoot the monkey (tranquilizer gun)

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## This note was uploaded on 10/21/2010 for the course PHYS 221 taught by Professor Herrera-siklody during the Fall '08 term at Iowa State.

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lecture06 - 2 and 3 DIMENSIONAL MOTION dr v dt Constant...

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