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A speeding train slams on the brakes when it sees a car is on the tracks in front of it. It takes the train 25 seconds for it to go from an initial speed of 75 m/s to come to a complete stop. What is the train’s acceleration?

Sagot :

Explanation:

Given:

Initial Velocity is 75 m/s

Fianl Velocity: 0 m/s

Time 25 seconds.

Acclereation?

Use kinematic equation,

[tex]v _{f} = v _{i} + at[/tex]

[tex]0 = 75 \frac{m}{s} + a(3s)[/tex]

[tex]{ - 75} \frac{m}{s} = 3s(a)[/tex]

[tex] - {25} \frac{m}{ {s}^{2} } = a[/tex]

So the acclereation is -25 m/s^2. Since the Velocity is positive and acclereation is negative, the train will be slowing down.

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