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The position-time equation for a certain train is
2.9m + (8.8m/s)t + (2.4m/s2)+2

What is it’s acceleration?

Respuesta :

Answer:

[tex]a=4.8m/s^2[/tex]

Explanation:

Hello,

In this case, since the acceleration in terms of position is defined as its second derivative:

[tex]a=\frac{d^2x(t)}{dt^2}=\frac{d^2}{dt^2}(2.9+8.8t+2.4t^2)[/tex]

The purpose here is derive x(t) twice as follows:

[tex]a=\frac{d^2x(t)}{dt^2}=\frac{d}{dt}(8.8+2*2.4*t)\\ \\a=4.8m/s^2[/tex]

Thus, the acceleration turns out 4.8 meters per squared seconds.

Best regards.