HikeemK213783 HikeemK213783
  • 30-10-2022
  • Physics
contestada

If a train going 60m/s hits the brakes and it takes the train 1 minute 25 seconds to stop what is the acceleration?

Respuesta :

CuinnH555583 CuinnH555583
  • 30-10-2022

Given:

The initial speed of the train is,

[tex]u=60\text{ m/s}[/tex]

The time to stop is,

[tex]\begin{gathered} t=1\text{ m 25 s} \\ =(60+25)\text{ s} \\ =85\text{ s} \end{gathered}[/tex]

The final speed is,

[tex]v=0[/tex]

To find:

The acceleration

Explanation:

Using the formula of speed,

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

Here, a is the acceleration.

Substituting the value we get,

[tex]\begin{gathered} 0=60+a\times85 \\ a=-\frac{60}{85} \\ a=-0.71\text{ m/s}^2 \end{gathered}[/tex]

Hence, the acceleration is,

[tex]a=-0.71\text{ m/s}^2[/tex]

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