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Question Number 38707 by Rio Mike last updated on 28/Jun/18

Commented by Rio Mike last updated on 28/Jun/18

$T h e f i g u r e a b o v e s h o w s t h e s p e e d t i m e$ $g r a p h f o r a t r a i n j o u r n e y . O A, A B$ $a n d B C a r e p a r t s o f t h e l i n e w h o s e$ $e q u a t i o n s a r e$ $y = \frac{16}{45} x, y = 16 a n d \frac{x}{180} + \frac{y}{48} = 1 .$ $r e s p e c t i v e l y .$ $C a l c u l a t e :$ $a) t h e c o o r d i n a t e s o f A, B, C$ $b) t h e l e n g t h o f t i m e f o r w h i c h t h e$ $s p e e d i s c o n s t a n d .$ $c) T h e t o t a l d i s t a n c e t r a v e l l e d b y$ $t h e t r a i n .$
Commented by MJS last updated on 28/Jun/18

$l_{1} (x) = \frac{16}{45} x; l_{2} (x) = 16; l_{3} (x) = 48 - \frac{4}{15} x$ $a . A = l_{1} \cap l_{2} = (\begin{matrix} x_{A} \\ 16 \end{matrix}); B = l_{2} \cap l_{3} = (\begin{matrix} x_{B} \\ 16 \end{matrix}); C = zero (l_{3}) = (\begin{matrix} x_{C} \\ 0 \end{matrix})$ $b . ∣ B - C ∣= x_{C} - x_{B}$ $c . \underset{0}{\int^{x_{A}}} l_{1} d x + \underset{x_{A}}{\int^{x_{B}}} l_{2} d x + \underset{x_{B}}{\int^{x_{C}}} l_{3} d x$ $please do the work if possible and let me$ $know where {you}^{'} re in trouble . this should$ $be an easy job$
Commented by Rio Mike last updated on 28/Jun/18

$s u r e t h a n k s$
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