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The position coordinate  of x =2t³ -24t +6 m. Determine the distance traveled by it from t =1 sec to t=4 sec.
Asked by rakhibhanusharma | 05 Jul, 2020, 09:29: PM
answered-by-expert Expert Answer
a t space t equals 1 comma space x equals 2 open parentheses 1 close parentheses cubed minus 24 open parentheses 1 close parentheses plus 6 equals negative 18 a t space t equals 2 T h e space v e l o c i t y space b e c o m e s space z e r o v equals fraction numerator d x over denominator d t end fraction equals 6 t squared minus 24 t equals 2 T h e r e f o r e x equals 2 open parentheses 2 close parentheses cubed minus 24 open parentheses 2 close parentheses plus 6 equals negative 26 S o space t h e space p a r t i c l e space c h a n g e s space i t s space d i r e c t i o n space a t space t equals 2 N o w space a t space t equals 4 space t h e space p o s i t i o n space o f space t h e space p a r t i c l e x equals 2 open parentheses 4 close parentheses cubed minus 24 open parentheses 4 close parentheses plus 6 equals 38 S o space t h e space d i s tan c e space t r a v e l l e d space f r o m space t equals 1 space t o space t equals 2 space i s space 6 m w h e r e a s space d i s tan c e space t r a v e l l e d space f r o m space t equals 2 space t o space t equals 4 space i s space 38 minus open parentheses negative 26 close parentheses equals 64 S o space t h e space t o t a l space d i s tan c e space t r a v e l l e d space w o u l d space b e space 64 plus 6 equals 70 m
Answered by Utkarsh Lokhande | 07 Jul, 2020, 12:02: AM

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