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F = (- 3 \overset{⏜}{i} + 4 \overset{⏜}{j}) a n d v = (6 \overset{⏜}{i} - 12 \overset{⏜}{j}) B u t m = 5 s o a = \frac{(- 3 \overset{⏜}{i} + 4 \overset{⏜}{j})}{5} b u t a = \frac{d v}{d t} = \frac{(- 3 \overset{⏜}{i} + 4 \overset{⏜}{j})}{5} D I f f e r e n t i a t i n g a b o v e e q n w . r . t t i m e, w e g e t, v = \frac{(- 3 \overset{⏜}{i} + 4 \overset{⏜}{j})}{5} t + k (w h e r e k i s t h e c o n s \tan t o f i n t e g r a t i o n a t t = 0, v = (6 \overset{⏜}{i} - 12 \overset{⏜}{j}), s o (6 \overset{⏜}{i} - 12 \overset{⏜}{j}) = 0 + k t h e r e f o r e e q n o f i n t e g r a t i o n b e c o m e s, v = \frac{(- 3 \overset{⏜}{i} + 4 \overset{⏜}{j})}{5} t + (6 \overset{⏜}{i} - 12 \overset{⏜}{j}) N o w v e l o c i t y a l o n g X - a x i s i s z e r o w h e n, \frac{- 3 \overset{⏜}{i} t}{5} + 6 \overset{⏜}{i} = 0 i . e . t = \frac{30}{3} = 10 s T h e r e f o r e c o r r e c t o p t i o n i s (c) 10 s e c .

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