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Matter In Our Surroundings

Question
CBSEENSC9005745

A stone is thrown in vertically upward direction with a velocity of 5 m/s. If the acceleration of the stone during its motion be 10 m/s2 in downward direction, what will be the height attained by the stone and how much time will it take to reach there?

Solution
H e r e comma space space space
I n i t i a l space v e l o c i t y comma space straight u space equals space 5 space straight m divided by straight s
A c c e l e r a t i o n comma space space straight a space equals space minus 10 space straight m divided by straight s squared space space space space space open square brackets because space space D i r e c t i o n space o f space straight a space i s space o p p o s i t e space t o space straight u close square brackets

A t space t h e space h i g h e s t space p o i n t comma space straight v space equals space 0

U s i n g space t h e space f i r s t space e q u a t i o n space o f space m o t i o n comma space straight v space equals space straight u space plus space a t

W e space h a v e comma space space 0 space equals space 5 space minus space 10 space cross times space straight t space

space space space space space space space space space space space space space space space space space space space space straight t space equals space 0.5 space straight s.

A l s o comma space d i s t a n c e space t r a v e l l e d
space straight s space equals space u t space plus space 1 half a t squared space
space space space space equals space 5 space cross times 0.5 space plus space 1 half cross times left parenthesis negative 10 right parenthesis space cross times space left parenthesis 0.5 right parenthesis squared
space space space space equals space 2.5 space minus space 1.25 space equals space 1.25 space straight m. space space space space space space space space space space space space space