A car moving at a speed of 8.0 m/s merges onto the highway and acceler

1.	A car moving at a speed of 8.0 m/s merges onto the highway and accelerates at a rate of3.0 m/s2. How fast is it moving after travelling for 54 meters?
Answer» $\underline{\underline{\purple{\sf \blue{\mapsto} Step\:\:by\:\:step\: Explanation:}}}$ •As per the DATA in Question, Initial velocity of car = 8m/s (u) Final velocity of car = ? (v) . Acceleration of the car = 3.0m/s². Distance travelled by the car = 54M . •Using the third equation of MOTION : $\boxed{\red{\bf\purple{\dag}\:\:2as\:=\:v^2\:-\:u^2}}$ Substituting the RESPECTIVE VALUES , $\sf{⇒ 2as = v² - u² }$ $\sf{⇒ 2 × 3 × 54 = v² - 8² }$ $\sf{⇒ 324 + 64 = v² }$ $\sf{⇒ v² = 388}$ $\sf{⇒ v =} \sqrt{388 }$ $\sf{⇒ v = 19.69 m/s ≈ 20m/s }$ Hence the required answer is $\sf{ 19.69 m/s.}$ ______________________