Question

A car moving with a speed of 30 km per hour to 72 km per hour and 10 second calculate acceleration

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Acceleration=1.17\:m/s^{2}}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given:}} \\ \tt: \implies Initial \: velocity(u) = 30 \: km/h \\ \\ \tt: \implies Final \: velocity( v ) = 72 \: km/h \\\\ \tt: \implies Time( t) = 10 \: sec \\ \\ \red{\underline \bold{To \: Find:}}\\ \tt: \implies Acceleration(a) = ?$

• According to given question :

$\tt \circ \: Initial \: velocity =30 \times \frac{5}{18} = \frac{150}{18} \: m/s \\ \\ \tt \circ \: Final \: velocity = 72 \times \frac{5}{18} = 20 \: m/s \\ \\ \tt \circ \: Time = 10\: sec \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies v = u + at \\ \\ \tt: \implies 20 = \frac{150}{18} + a \times 10 \\ \\ \tt: \implies \frac{360 - 150}{18} = 10 \times a \\ \\ \tt: \implies a = \frac{210}{18\times 10} \\ \\ \green{\tt: \implies a = 1.17\: m/{s}^{2} }$

$\blue{ \bold{some \: related \: formula}} \\ \orange{\tt \circ \: {v}^{2} = {u}^{2} + 2as} \\ \\ \orange{\tt \circ \: s = ut + \frac{1}{2} at^{2} }$

Answer 2

$</p><p>\tt{\huge{\pink{Hello!!! }}}$

$</p><p>\tt{\red{V_{1}\: = 30 \: kmph }}$

$</p><p>\tt{\red{V_{2}\: = 72 \: kmph }}$

$\tt{ \purple{ \boxed{ \boxed{ \implies{ \: a = \dfrac{v - u}{t} = 4.2 \: km \:per \: hr. }}}}}$