Question

a 100m long truck crosses a 200m bridge with a velocity of 36km/h. find the taken by the truck to cross the bridge​

Answer 1

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

$\green{\tt{\therefore{Time\:taken=30\:sec}}}$

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

$\green{\underline \bold{Given :}} \\ \tt: \implies Length \: of \: truck = 100 \: m \\ \\ \tt : \implies Length \: of \: bridge = 200 \: m \\ \\ \tt: \implies Velocity \: of \: truck(u) = 36 \: km/h \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Time \: taken \: to \: cross \: the \: bridge = ?$

• According to given question :

$\tt \circ \: Total \: distance = 200 + 100 = 300 \: m \\ \\ \tt \circ \: Velocity = 36 \times \frac{5}{18} = 10 \: m/s\\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies s = ut + \frac{1}{2} {at}^{2} \\ \\ \tt \circ \: acceleration = 0\\ \tt: \implies 300 = 10 \times t + \frac{1}{2} \times 0 \times {t}^{2} \\ \\ \tt: \implies 300 = 10 \times t \\ \\ \tt: \implies t = \frac{300}{10} \\ \\ \green{\tt: \implies t =30 \: sec} \\ \\ \green{\tt\therefore truck \: cross \: the \: bridge \: in \: 30 \: sec} \\ \\ \blue{\bold {Some \: related \: formula}} \\ \orange{\tt \circ \: v = u + at} \\ \\ \orange{\tt \circ \: {v}^{2} = {u}^{2} +2as}$

Answer 2

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

$</p><p>\tt{\red{Given \: - }}$

• The length of the truck is 100 m.

• The length of the bridge is 200 m.

• Velocity = 10 m/s.

• Acceleration = 0.

$</p><p>\tt{\orange{______}}$

$</p><p>\tt{\green{Formula \: Used \: - }}$

$</p><p>\huge{\purple{\boxed{\boxed{\mathfrak {\implies{s = ut + \dfrac{1}{2} a {t}^2 }}}}}}$

Substituting the values and solving we get :

T = 30 sec.

$</p><p>\tt{\red{______}}$

____________

Other Formulae :

$</p><p>\huge{\orange{\boxed{\boxed{\mathfrak {\implies{{v}^2 = {u}^2 + 2as }}}}}}$

$</p><p>\huge{\blue{\boxed{\boxed{\mathfrak {\implies{V= u + at}}}}}}$