Q.16. A person starts from origin and for his linear motion velocity is given as shown in figure. Find the displacement of the person from t = 15 sec to t = 35 sec.

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 The displacement can be calculated by the area under v-t graph soFrom t=15sec to t=25secD1=1/2×10×15=75mthe displacement from t=25sec to t=35secD2=-1/2×10×15=-75m(-sign because of the direction of velocity)Total displacement=D2+D1=0mOption 2 is correctThe displacement can be calculated by the area under v-t graph soFrom t=15sec to t=25secD1=1/2×10×15=75mthe displacement from t=25sec to t=35secD2=-1/2×10×15=-75m(-sign because of the direction of velocity)Total displacement=D2+D1=0mOption 2 is correctThe displacement can be calculated by the area under v-t graph soFrom t=15sec to t=25secD1=1/2×10×15=75mthe displacement from t=25sec to t=35secD2=-1/2×10×15=-75m(-sign because of the direction of velocity)Total displacement=D2+D1=0mOption 2 is correct

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