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Graph (a vs t) and (v vs t) for the following situation(all motion in the x dire

ID: 1722533 • Letter: G

Question

Graph (a vs t) and (v vs t) for the following situation(all motion in the x direction). He has a constant velocity of -1.0m/s for 2 seconds, then accelerates at 2.0 m/s*s fr 2 seconds,travels with constant velocity of 3.0 m/s for 1 second thenaccelerates in the negative direction with an acceleration of 2.0m/s*s for 3 seconds. Also, what is the displacement to the origin after the lastdescribed motion? Graph (a vs t) and (v vs t) for the following situation(all motion in the x direction). He has a constant velocity of -1.0m/s for 2 seconds, then accelerates at 2.0 m/s*s fr 2 seconds,travels with constant velocity of 3.0 m/s for 1 second thenaccelerates in the negative direction with an acceleration of 2.0m/s*s for 3 seconds. Also, what is the displacement to the origin after the lastdescribed motion?

Explanation / Answer

Graph (a vs t) and (v vs t) for the following situation(all motion in the x direction). He has a constant velocity of -1.0m/s for 2 seconds, then accelerates at 2.0 m/s*s fr 2 seconds,travels with constant velocity of 3.0 m/s for 1 second thenaccelerates in the negative direction with an acceleration of 2.0m/s*s for 3 seconds. Also, what is the displacement to the origin after the lastdescribed motion?

displacement in 2 sec=-2m
velocity after 2 sec=-1m/sec
displacement during accelerated period=-1*2+1/2*2*4=-2+4=2m
velocity after 4sec=-1+2*2=3m/sec
displacement in the third phase=3*1=3m
displacement in the last phase=-3*3-1/2*2*9=-18m
hence total displacement=-2+2+3-18=-15m