A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0 m s–2 for 8.0 s. How far does the boat travel during this time?

Solution

H e r e comma space I n i t i a l space v e l o c u i t y comma space straight u space equals space 0 A c c e l e r a t i o n comma space straight a space equals space 3 space m s to the power of negative 2 end exponent T i m e space t a k e n comma space straight t space equals space 8 space straight s N o w comma space u s i n g space e q u a t i o n space o f space m o t i o n comma space D i s t a n c e space t r a v e l l e d space b y space t h e space b o a t comma space space straight s space equals space u t space plus space 1 half a t squared 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 0 space cross times 8 space plus space 1 half cross times 3 cross times left parenthesis 8 right parenthesis squared 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 96 space straight m. space

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