Chapter_3-examples

# Chapter_3-examples - Example 3.1: A bird flies east at...

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Example 3.1: A bird flies east at 10m/s for 100m. It then turns around and flies at 20 m/s for 15s. Find (a) its average speed;(b) its average velocity Average speed = The net displacement is s m s m t x v m m m x x x av / 8 25 200 200 300 100 2 1 - = - = = - = - = + = s m s m m t ce dis / 16 25 300 100 tan = + =

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Example 3.3: The position of a particle is given by the equation x= 3t 2 m, Find the instantaneous velocity at 2 s by using (a) a limiting process,and (b) the derivative of the function. The function, a parabola, is sketched in fig. 3.9 2 2 ) 2 ( 3 ) 2 ( 3 - + = t x t x ) / ( s m t x 1 0.5 0.1 0.01 0.001 0.0001 15 6.75 1.23 0.1203 0.012003 0.0012 15 13.5 12.3 12.03 12.003 12.000 2 2 2 ) ( ) ( 2 ) ( t C t Ct Ct t t C x + = - + = 12 ) ( 2 lim 0 = = + = t x dt dx t C Ct t x t , C = 3
Example 3.5-1: at t =0 a particle is at rest at the origin. Its acceleration is 2 m/s 2 for the first 3s and -2m/s 2 for the next 3s. Plot the x versus t and v versus t graphs. m x x at t v x x s m v v at v v the 9 3 2 2 1 0 0 2 1 / 6 3 2 0 sec. 3 first 2 2 0 0 0 = × + + = + + = = × + = + =

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Example 3.5-2: at t =0 a particle is at rest at the origin. Its acceleration is 2 m/s 2 for the first 3s and -2m/s 2 for the next 3s. Plot the x versus t and v versus t graphs. m x x at t v x x s m v v at v v . . to 18 3 2 2 1 3 6 9 2 1 / 0 3 2 6 sec 6 sec 3 2 2 0 0 0 = × - × + = + + = = × - = + =
Example 3.7: A particle is at x=5m at t=2s and has a velocity v=10m/s. Its acceleration is constant at -4m/s

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## This note was uploaded on 05/01/2011 for the course ELECTRIC MAT351 taught by Professor Ahmettantuni during the Spring '10 term at Abant İzzet Baysal University.

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Chapter_3-examples - Example 3.1: A bird flies east at...

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