Question

A Kangaroo can jump 2.5 m vertically. What must be the initial velocity of the kangaroo?​

Answer 1

$\qquad \huge{\underline{\underline{\boxed{\sf{\purple{❥︎sᴏʟᴜᴛɪᴏɴ ࿐}}}}}}$

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${ \underline{ \mathbb \red{G} \green{I} \mathbb\blue{V} \purple{E} \mathbb \orange{N} \pink{\:T} \mathbb \red{H} \green{A} \mathbb \blue{T} \purple{:}}}\:$

$\red{ \longmapsto\:}$ Acceleration (a) = 9.8 m/s^2

$\red{ \longmapsto\:}$ Displacement (s) = 2.5 m

$\red{ \longmapsto\:}$ Velocity (v) = 0

${\underline{ \mathbb \red{T} \green{O} \mathbb\blue{\:F} \purple{I} \mathbb \orange{N} \pink{D:}}}\:$

$\red{ \longmapsto\:}$ Initial Velocity

We know that,

$\boxed{ {{ \pink{ {v}^{2} = {u}^{2} + 2as }}} }$

$\red{ \longmapsto\:}$ $\red{ {0}^{2} = {u}^{2} + 2 \: (9.8) \: (2.5)}$ (The negative sign is used as the acceleration is in the opposite direction of the Velocity)

$\red{ \longmapsto\:}$ $\red{ 0 = {u}^{2} - 49}$

$\red{ \longmapsto\:}$ $\red{ {u}^{2} = 49}$

$\red{ \longmapsto\:}$ $\red{u = 7m/s}$

${\bold{ \mathbb \green{Therefore,\:the\:initial\:velocity}}}$ ${ \mathbb \green{of\:the\:kangaroo\:must\:be}}$ $\purple{7m/s}$

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