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Use the formulav = u+at to find the velocity
• the initial velocity is 3 m/s
• the acceleration is 1.5 m/s²
• the time is 7 seconds
​

Sagot :

AadhPrit

Answer:

The final velocity is 13.5 m/s.

Step-by-step explanation:

Given :

  • [tex]\red\diamond[/tex] Initial velocity = 3 m/s
  • [tex]\red\diamond[/tex] Acceleration = 1.5 m/s²
  • [tex]\red\diamond[/tex] Time = 7 seconds

[tex]\begin{gathered}\end{gathered}[/tex]

To Find :

  • [tex]\red\diamond[/tex] Final Velocity

[tex]\begin{gathered}\end{gathered}[/tex]

Using Formula :

[tex]{\star{\underline{\boxed{\sf{\pink{v = u + at}}}}}}[/tex]

  • [tex]\blue\star[/tex] v = final velocity
  • [tex]\blue\star[/tex] u = initial velocity
  • [tex]\blue\star[/tex] a = acceleration
  • [tex]\blue\star[/tex] t = time taken

[tex]\begin{gathered}\end{gathered}[/tex]

Solution :

Substituting all the given values in the formula to find Final velocity :

[tex]\begin{gathered}\begin{array}{l} {\longrightarrow{\tt{v = u + at}}} \\ \\ {\longrightarrow{\tt{v = 3 + 1.5 \times 7}}} \\ \\ {\longrightarrow{\tt{v = 3 + \dfrac{15}{10} \times 7}}} \\ \\ {\longrightarrow{\tt{v = 3 + \dfrac{15 \times 7}{10}}}} \\ \\ {\longrightarrow{\tt{v = 3 + \dfrac{105}{10}}}} \\ \\ {\longrightarrow{\tt{v = 3 + 10.5}}} \\ \\ {\longrightarrow{\tt{v =13.5 \: m/s}}} \\ \\ {\star{\underline{\boxed{\tt{\purple{v =13.5 \: m/s}}}}}} \end{array}\end{gathered}[/tex]

Hence, the final velocity is 13.5 m/s.

[tex]\rule{300}{2.5}[/tex]

MrRoyal

The final velocity is 13.5m/s

The formula of velocity is given as:

[tex]v =u + at[/tex]

And the parameters are given as:

  • the initial velocity, u = 3 m/s
  • the acceleration, a = 1.5 m/s²
  • the time, t = 7 seconds

So, we have:

[tex]v =3 + 1.5 \times 7[/tex]

[tex]v =3 + 10.5[/tex]

[tex]v =13.5[/tex]

Hence, the final velocity is 13.5m/s

Read more about velocity at:

https://brainly.com/question/4931057

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