Respuesta :
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 :-
[tex]\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}[/tex]
Calculation :-
[tex]\pink{\qquad \pmb{ \sf\longrightarrow v \: = u \: + at}}[/tex]
[tex] \qquad \pmb{\sf \longrightarrow v = 0 + 2.5 \times 2}[/tex]
[tex]\qquad \pmb{ \sf\longrightarrow v = 0 + 5}[/tex]
[tex] \qquad \pmb{\sf \longrightarrow v = 5 \: ms^{-1}}[/tex]
[tex]\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ Final \: velocity= 5 \: ms^{-1} }}}}}}[/tex]
Henceforth –
- The final velocity of the car is 5 m/s
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬