Question

A body is coming down an inclined plane with an acceleration of 1 m/s2. If it starts from rest, find the time after which its velocity becomes 5m/s. ​

Answer 1

Explanation:

★ Given :-

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• Acceleration [ A ] = 1 m/s²
• Final Velocity [ V ] = 5 m/s
• lnitial Velocity [ U ] = 0 m/s

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★ To Find :-

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• The taken Time [ T ] = ?

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★ Answer :-

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⠀⠀⠀$\maltese \: \textsf \red{\: First \: Equation \: of \: Motion} \\ \\ \rightarrow \bold {v = u + at} \\ \\ \\ \Longrightarrow \textsf{5 = 0 + 1 \: (t)} \\ \\ \Longrightarrow \textsf{5 = 1t} \\ \\ \Longrightarrow \bold{t = \cancel\frac{5}{1} } \\ \\ \longmapsto \boxed{\textsf \pink{ = 5 \: seconds}}$

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★ Hence,

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• The time after velocity = 5 sec.

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$\begin{gathered}\begin{gathered}\boxed{\begin{array}{c}\\ {\pmb{\sf\bigstar\: \: {Three \: equations\: of \: motion}}} \\ \\ \sf 1.] \:\: v \: = u \: + at \\ \\ \sf 2.]\:\: s \: = ut + \: \dfrac{1}{2} \: at^2 \\ \\ \sf 3.] \:\: v^2 - u^2 \: = 2as\end{array}}\end{gathered}\end{gathered}$

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