Question

A racing car has a uniform acceleration 5ms square. what distance will it cover in 20s after starting from rest???

Answer 1

$\textbf{\underline{\underline{According\:to\:the\:Question}}}$

★Given :-

u = 0m/s

a = 5m/s²

t = 20 second

★To Find :-

s = ?

★Solution :-

${\boxed{Equation\:\:of\:\:Motion}}$

$\tt{\rightarrow s = ut+\dfrac{1}{2}at^{2}}$

$\tt{\rightarrow s = 0\times 20+\dfrac{1}{2}5\times (20)^{2}}$

$\tt{\rightarrow s = 0+\dfrac{1}{2}\times 5\times (20)^{2}}$

$\tt{\rightarrow s = 0+\dfrac{1}{2}\times 5\times (20)\times (20)}$

$\tt{\rightarrow s =\dfrac{1}{2}\times 5\times 400}$

s = 1000m

→1000m = 1km

→So car will cover 1km distance in 20 second.

$\boxed{\begin{minipage}{9 cm} Additional Information \\ \\ \ Distance = Speed\times Time \\ \\ Displacement=Velocity\times time \\ \\ Average\: Speed = \dfrac{Initial\:Speed+Final\:Speed}{2} \end{minipage}}$