Question

a car ia moving with the acceleration 2m/s2 form test find the distance traveled by the car in the 5thsecond​

Answer 1

$\huge{\mathbb{\red{ANSWER:-}}}$

Given :-

$\sf{For \: a \: car-}$

$\sf{acceleration(a) = 2 \: m/s^{2}}$

$\sf{time(t) = 5 \: second}$

To Find Out :-

$\sf{how \: much \: distance \: covered \: by}$

$\sf{the \: car ? }$

Using Formulas :-

$\sf{Second \: eq. \: of \: Newton's \: law:-}$

$\sf{S = ut + \dfrac{1}{2}at^{2}}$

Explanation :-

$\sf{During \: rest- \: u = 0 \: m/s^{2}}$

$\sf{Now-}$

$\sf{S = 0\times 5 + \dfrac{1}{2}\times 2\times (5)^{2}}$

$\sf{S = 0 + \dfrac{1}{2}\times 2\times 25}$

$\sf{S = 0 + 1\times 25}$

$\sf{S = 0 + 25}$

$\sf{S = 25 \: meter}$

$\sf{The \: car \: travelled \: distance \: of \: 25 \: meter}$

Extra related formulas :-

1)$\sf{v = u + at}$

2)$\sf{v^{2} = u^{2} + 2as}$

3)$\sf{a =\dfrac{v - u}{t}}$