1.) Calculate total distance traveled by computation of area under orange line.

Question

1.) Calculate total distance traveled by computation of area under orange line.

                     = 1.8 km

2.) Determine the distance traveled between t = 10 s and t = 40 s

                      = 1.45 km

3.) Write an equation for x as a function of time for each phase of the motion represented by segments 0a, ab, and bc. using only the variable t as necessary.

Need some help solving this problem. Parts 1 and 2 have already been solved. ONLY NEED PART 3, phase ab and phase bc. The horizontal axis of the graph is marked in increments of 10 s and the vertical axis is marked in increments of 10 m/s. 1.) Calculate total distance traveled by computation of area under orange line. = 1.8 km 2.) Determine the distance traveled between t = 10 s and t = 40 s = 1.45 km 3.) Write an equation for x as a function of time for each phase of the motion represented by segments 0a, ab, and bc. using only the variable t as necessary.

Explanation / Answer

Equation of position for phase oa is                    x1 = 0 + ( 1/2) a t 2                        = ( 0.5 ) 3.33 *t2                           = 1.67 t 2 equation of position of phase ab                      x2  =  (50m/s)( t - 15 ) + ( 1/2) (50 - 0 )  15s                         = 50 t - 375 m Foe phase bc                      = 50 t - 375 m              x3  =  375 + 1250m + ( 1/2) ( -5 m/s 2 ) ( t - 40 ) 2                   = ( 250 m/s ) ( t - 2.5 m/s2 ) - 4375 m  

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