Chapter02 - Chapter 2: Straight-Line (1D) Motion Physics...

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Unformatted text preview: Chapter 2: Straight-Line (1D) Motion Physics 1301: Chapter 2, Pg 1 Main concepts Physics 1301: Chapter 2, Pg 2 Position and displacement r (t ) x(t ) y (t ) z (t ) y z 0 r (t ) x(t ) r (t ) x(t ) y (t ) z (t ) y z 0 r (t ) x(t ) Physics 1301: Chapter 2, Pg 3 Displacement and distance traveled r rf ri l l r i r ri Physics 1301: Chapter 2, Pg 4 Displacement in 1D x(t ) x(t 0) 0 x x2 x1 x(t 2 ) x(t1 ) t t 2 t1 Physics 1301: Chapter 2, Pg 7 Average velocity v displacement time interval [ LT 1 ] m/s v r t v x t v x t x2 x1 t 2 t1 10 4 1.5 84 Physics 1301: Chapter 2, Pg 8 Average speed s distance traveled time interval [ LT 1 ] m/s l t l l l 0 x x s s s 0 v v Physics 1301: Chapter 2, Pg 9 1D motion in one direction t t t 8.20 s 3.91 s 0.95 s v v v 75 8.20 50 5.92 35 4.55 0 9.2 m/s 0 10 10 m/s 2.01 25 11 m/s 3.60 Physics 1301: Chapter 2, Pg 12 (Instantaneous) velocity t1 v 0 s, t 2 AZ 6.0 s 0.8 km/min 61 60 v(t ) lim t 0 x(t t ) x(t ) t v(t ) dx dt Physics 1301: Chapter 2, Pg 13 (Instantaneous) velocity v (t ) dx(t ) dt x(t) v(t) > 0 v(t) < 0 dr dt v(t ) Physics 1301: Chapter 2, Pg 14 (Instantaneous) speed s (t ) dl dt t 0, r l s (t ) v (t ) s (t ) v (t ) Physics 1301: Chapter 2, Pg 16 Motion with constant velocity v v x2 x1 t 2 t1 x2 x1 v(t 2 t1 ) t1 0, t 2 t , x1 x(t1 ) x ( 0) x0 , x2 x x t1 t0 0 x0 vt r r0 vt x0 v(t t0 ) Physics 1301: Chapter 2, Pg 22 x Average acceleration a v t [ LT 2 ] m/s 2 a v t v(t t ) v(t ) t Physics 1301: Chapter 2, Pg 27 a (t ) lim t 0 (Instantaneous) acceleration a(t ) dv dt dv(t ) dt v(t) a(t) > 0 a(t) < 0 a (t ) Physics 1301: Chapter 2, Pg 28 Acceleration and displacement dv a dt v dv dt dr dt d 2r dt 2 a d dr dt dt a dx 2 dt 2 dr 2 dt 2 a Physics 1301: Chapter 2, Pg 30 Motion with constant acceleration in 1D a t1 a 0, t 2 v2 v1 t 2 t1 t , v1 v2 v1 a (t 2 t1 ) v v(t1 ) v(0) v0 , v2 v v0 at v v0 v 0 at a v 0 or a Physics 1301: Chapter 2, Pg 32 Motion with constant acceleration in 1D x2 x1 t 2 t1 0, t 2 t , v1 v t1 x2 x1 v (t 2 t1 ) v v(t1 ) v(0) v0 , v2 x x0 vt v v0 v 2 Physics 1301: Chapter 2, Pg 36 Motion with constant acceleration in 1D v0 v v 2 v v0 at v v0 v0 2 at v v0 at 2 x v x0 v0 vt at 2 x x0 v0 at t 2 x x0 v0t at 2 2 at 2 2 r r0 v 0t Physics 1301: Chapter 2, Pg 38 Motion with constant acceleration in 1D x dv dt t x x t t t dx vdt x0 dx 0 (v0 at )dt v0 dt a tdt 0 0 v0t at 2 2 v v0 ;v a x0 vt v v0 2 v v0 v v0 x0 a 2 v x0 a 2 v 2 v0 2a x x0 2 v 2 v0 2a v2 2 v0 2a( x x0 ) Physics 1301: Chapter 2, Pg 39 Motion with constant acceleration in 1D t0 0? t t-t0 v x v2 v0 a (t t0 ) a (t t0 ) 2 x0 v0 (t t0 ) 2 2 v0 2a ( x x0 ) Physics 1301: Chapter 2, Pg 41 Freely falling objects Gravitational acceleration g is the same for all objects Physics 1301: Chapter 2, Pg 42 Free falling objects v0 Physics 1301: Chapter 2, Pg 51 Freely falling objects g g 9.8 m/s 2 v y v0 y0 v 2 0 gt gt 2 v0t 2 2 g ( y y0 ) Physics 1301: Chapter 2, Pg 43 a g y v 2 Problem-solving techniques Physics 1301: Chapter 2, Pg 56 ...
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This note was uploaded on 02/20/2010 for the course PHYS 1301W taught by Professor Marshak during the Fall '08 term at Minnesota.

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