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Question Number 81829 by aseer imad last updated on 15/Feb/20

Commented by aseer imad last updated on 15/Feb/20

$p l s h e l p . . .$
Commented by aseer imad last updated on 15/Feb/20

$p l s h e l p . . .$
	Answered by TANMAY PANACEA last updated on 15/Feb/20

	$d w = v d q$ $\frac{d w}{d t} = v \times \frac{d q}{d t} = v i = p o w e r$ $d w = (v) i d t = v i d t$ $e n e r g y = \int_{0}^{10} v i d t + \int_{10}^{15} v i d t + \int_{15}^{25} v i d t$ $c o m p a r e w i t h y = m x$ $i = (\frac{30}{15}) t = 2 t [w h e n 15 ⩾ t ⩾ 0]$ $e q n o f s t l i n e j o i n i n g (25, 0) a n d (15, 30) (t, i)$ $t = t i m e i = c u r r e n t$ $t \to x i \to y \to (y - y_{1}) = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1})$ $i - 0 = \frac{30 - 0}{15 - 25} (t - 25) i = - 3 (t - 25)$ $i = - 3 t + 75$ $r e l a t i o n b e t w e e n v a n d t w h e n 15 > t > 10$ $(t, v) \to (x, y) (10, 30) a n d (15, 5)$ $(v - 30) = \frac{5 - 30}{15 - 10} (i - 10)$ $v - 30 = \frac{- 25}{5} (i - 10)$ $v = 30 - 5 i + 50$ $v = 80 - 5 i$ $s o c o m p l t e a n s w e r$ $\int_{0}^{10} v i d t + \int_{10}^{15} v i d t + \int_{15}^{25} v i d t$ $= \int_{0}^{10} 30 i d t + \int_{10}^{15} (80 - 5 i) i d t + \int_{15}^{25} 5 i d t$ $p l s c h e c k u p t o t h i s$ $\int_{0}^{10} 30 (2 t) d t + \int_{10}^{15} (80 - 5 \times 2 t) 2 t d t + \int_{15}^{25} 5 \times (- 3 t + 75) d t$ $i = 2 t f o r t i m e i n t e r v a l t 0 t o 10 s e c$ $i = 2 t f o r t i m e i n t e r v a l 10 t o 15 s e c$ $i = (- 3 t + 75) f o r t i m e i n t e r v a l 15 t o 25$ $n o w p l s c o m p l e t e t h e r e s t b y y o u$
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