Question

A car starts from rest and accelerates at 2.5m/s^2 for 2s. What is the final velocity of the car

Answer 1

Question :-

• A car starts from rest and accelerates at 2.5m/s² for 2s. What is the final velocity of the car?

Required Solution :-

• The final velocity of the car is 5 m/s

Provided that :-

• Acceleration, a = 2.5m/s²
• Time taken, t = 2 sec
• Initial velocity, u = 0 m/s (As car started from rest)

To Calculate :-

• The final velocity of the car

Required Equations of Motion :-

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

Calculation :-

$\pink{\qquad \pmb{ \sf\longrightarrow v \: = u \: + at}}$

$\qquad \pmb{\sf \longrightarrow v = 0 + 2.5 \times 2}$

$\qquad \pmb{ \sf\longrightarrow v = 0 + 5}$

$\qquad \pmb{\sf \longrightarrow v = 5 \: ms^{-1}}$

$\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ Final \: velocity= 5 \: ms^{-1} }}}}}}$

Henceforth –

• The final velocity of the car is 5 m/s

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