Physics, asked by divyanshrathi06, 4 months ago

a driver decreases the speed of a car from 25m per second to x meter in 5 minutes if the acceleration of the car is 3m per second square then find the value of x​

Answers

Answered by RISH4BH
57

\Large\underline{\underline{\red{\sf \purple{\maltese}\:\: Given :- }}}

\sf\implies A \ driver \ decreases \ speed \ of \ car \ from \ 25m/s . \\\sf\implies Acceleration \ of \ the \ car \ is 3m/s^2.\\\textsf{ The time taken to reduce velocity is 5min.}

\Large\underline{\underline{\red{\sf \purple{\maltese}\:\: To \ Find  :- }}}

\implies \textsf { The value of x. }

\Large\underline{\underline{\red{\sf \purple{\maltese}\:\: Answer :- }}}

Since the velocity of the car is decreasing , its acceleration will be negative. Here in this case -3m/s². Let's use first equation of motion.

\underline{\boldsymbol{\purple{ Using \ first \ equation \ of \ motion :- }}}

\sf:\implies \pink{ v = u + at } \\\\\sf:\implies x \ m/s = 25m/s + (-3m/s^2) 5 \ min. \\\\\sf:\implies x \ m/s = 25 m/s + (-3m/s^2) ( 5 \times 60s ) \\\\\sf:\implies x \ m/s = 25 m/s + (-3m/s^2) 300s \\\\\sf:\implies x \ m/s = 25 m/s - 900 m/s \\\\\sf:\implies \boxed{\pink{\mathfrak{ x = - 875 m/s }}}

\underline{\blue{\sf \therefore Hence \ the \ value  \ of \ x  \ is \ \textsf{\textbf{-875 \ m/s  }}. }}

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