A body is projected vertically upwards with a speed of 20m/s. Find the time in seconds when the body is 15m above it point of projection. g= 10m/s²


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Question Number 209432 by Tawa11 last updated on 10/Jul/24

A body is projected vertically upwards with a speed of 20m/s. Find the time in seconds when the body is 15m above it point of projection. g= 10m/s²
	Answered by A5T last updated on 10/Jul/24

	$s = u t - \frac{{g t}^{2}}{2} \Rightarrow 15 = 20 t - 5 t^{2} \Rightarrow t^{2} - 4 t + 3 = 0$ $\Rightarrow t = 3 o r 1$
	Commented by Tawa11 last updated on 10/Jul/24

	$Sir, at maximum height, t = 2 \sec .$ $So, t = 1 \sec is the answer ?$
	Commented by A5T last updated on 10/Jul/24

	$A t t = 3; t h e b o d y i s a l s o 15 m a b o v e t h e p o i n t o f$ $p r o j e c t i o n .$
	Commented by Tawa11 last updated on 10/Jul/24

	$Sir, but why at maximum height$ $t = 2 \sec .$ $So, the 3 \sec is bigger than the time at maximum$ $height, can I say t = 1 \sec . only$
	Commented by A5T last updated on 10/Jul/24

	$I f w e a r e c o n s i d e r i n g t h e w h o l e m o t i o n, a f t e r$ $t = 2 t h e b o d y w i l l s t a r t t o d r o p d o w n f r o m 20 m .$
	Commented by Tawa11 last updated on 10/Jul/24

	$Thanks sir, I understand$
	Commented by Tawa11 last updated on 10/Jul/24

	$sir help me check Q 209430$
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