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Matter In Our Surroundings

Question
CBSEENSC9005741

A car accelerates uniformly from 18 km/h to 36 km/h in 5 seconds. Calculate (i) the acceleration and Hi) the distance covered by the car in that time.

Solution
Here 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 18 km over straight h space equals space fraction numerator 18 space cross times space 1000 space straight m over denominator 3600 space straight s end fraction space equals space 5 space straight m divided by straight s
F i n a l space v e l o c i t y comma space straight v space equals space 36 space km over straight h space equals space fraction numerator 36 space cross times space 1000 space straight m over denominator 3600 space straight s end fraction space equals space 10 space straight m divided by straight s
T i m e space o f space t r a v e l comma space straight t space equals space 5 space straight s

Acceleration comma space straight a space equals space ? space space

D i s tan c e space t r a v e l l e d space b y space c a r comma space straight s space equals space ?

left parenthesis straight i right parenthesis space U sin 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

Acceleration comma space space space straight a space equals space fraction numerator straight v minus straight u over denominator straight t end fraction space equals space fraction numerator 10 minus 5 over denominator 5 end fraction space equals space 1 space straight m divided by straight s squared
left parenthesis ii right parenthesis space Distance space t r a v e l l e d space b y space t h e space c a r space i s space g i v e n space b y comma

space space space space straight s space equals space ut plus 1 half at squared space
space space space space space space space equals space 5 space cross times 5 space plus space 1 half cross times space 1 cross times left parenthesis 5 right parenthesis squared
space space space space space space space equals space 25 space plus space 12.5 space equals space 37.5 space straight m.