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Matter In Our Surroundings

Question
CBSEENSC9005657

A ball is gently dropped from a height of 20 m. If its velocity increases uniformly at the rate of 10 ms-2, with what velocity will it strike the ground? After what time will it strike the ground?

Solution
H e r e comma space

I n i t i a l space v e l o c i t y comma space straight u space equals space 0

H e i g h t space f r o m space w h i c h space t h e space b a l l space i s space d r o p p e d comma space straight s space equals space 20 space straight m

Acceleration comma space straight a space equals space 10 space m s to the power of negative 2 end exponent space

V e l o c i t y space w i t h space w h i c h space t h e space b a l l space w i l l space s t r i k e space t h e space g r o u n d comma space straight v space equals ? space

T i m e space t a k e n space f o r space t h e space b a l l space t o space s t r i k e space t h e space g r o u n d comma space straight t space equals ?

N o w comma space u s i n g space e q u a t i o n

space space space space space space space straight v squared minus straight u squared space equals space 2 a s

therefore space space space straight v squared space minus space 0 squared space equals space 2 space cross times space 10 space cross times space 20 space

space space space space space space space space space space space space space space space space space space space space space equals space 400

rightwards double arrow space space space space space space space space space space space space space space straight v space equals 20 space m s to the power of negative 1 end exponent

T i m e space t a k e n comma space straight t space equals fraction numerator straight v minus straight u over denominator straight a end fraction space
space space space space space space space space space space space space space space space space space space space space space space space space space equals space fraction numerator 20 minus 0 over denominator 10 end fraction space equals space 2 straight s