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Matter In Our Surroundings

Question
CBSEENSC9005731

A car accelerates from 18 km/h to 36 km/h in 10 s. Calculate its acceleration in

(i) km/h2

(ii) m/s2.

Solution
Here comma 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 18 space km over straight h space equals space 18 space cross times space 5 over 18 ms to the power of negative 1 end exponent space equals space 5 space ms to the power of negative 1 end exponent
F i n a l space v e l o c i t y comma space straight v space equals space 36 space kmh to the power of negative 1 end exponent space equals space 10 space ms to the power of negative 1 end exponent

T i m e space t a k e n space f o r space t h e space c a r space t o space a c c e l e r a t e comma space straight t space equals 10 space straight s 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 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 space space space space space space space space space space space space space space space space space space space space equals space 10 over 3600 straight h 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 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 space space space space space space space space space space space space space space space space space space space space space equals space 1 over 360 straight h
left parenthesis straight i right parenthesis space Acceleration comma space straight a space equals space fraction numerator straight v minus straight u over denominator straight t end fraction space equals space fraction numerator 36 minus 18 over denominator 1 divided by 360 end fraction space equals space 6480 space km divided by straight h squared space space space space

A c c e l e r a t i o n comma space straight a space equals space fraction numerator straight v minus straight u over denominator straight t end fraction space equals fraction numerator 10 minus 5 over denominator 10 end fraction space equals space 0.5 space straight m divided by straight s squared space space