Question

a body starting from rest attains a velocity of 20 ms the time taken by the body in the displacement of 50 m is​

Answer 1

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

$\green{\therefore{\text{Time\:taken=5\:s}}}$

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

• In the given question information given about a body if it starts from rest and attains the velocity 30 m/s in 2 seconds.

• We have to find acceleration of body.

$\green{\underline\bold{Given :}} \\ :\implies \text{Initial\:velocity(u)=0 m/s} \\ \\ :\implies \text{Final \: velocity (v)= 20 \:m/s} \\ \\ :\implies \text{Displacement(s)= 50\: m} \\ \\ \red{\underline \bold{To \: Find : }} \\ :\implies \text{Time\:taken(t)= ?}$

• According to given question :

$\bold{using \: third \: equation \: of \: motion} \\ : \implies {v}^{2} = {u}^{2} + 2as \\ \\ : \implies {20}^{2} = {0}^{2} + 2 \times a \times 50 \\ \\ : \implies a = \frac{400}{100} \\ \\ \green{: \implies \text{a = 4 {m/s}}^{2} }$

$\bold{Using \: first \: equation \: of \: motion : } \\ : \implies v = u + at \\ \\ : \implies 20= 0 + 4\times t \\ \\ : \implies 4\times t = {20} \\ \\ : \implies t= \frac{20}{4} \\ \\ \green{ : \implies{\text{t= 5 \: s}}}$

Answer 2

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

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

U = 0 m/s

V = 20 m/s

$\tt{ \purple{ \implies{a \: = \dfrac{v - u}{t} = 4 \: m. {s}^{ - 2} }}}$

$\tt{\red{\implies{T \: = \: 5 \: sec. }}}$