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## #1 2006-03-12 04:48:05

DodgyPerson
Member
Registered: 2006-02-20
Posts: 3

### Integration

Question: A company uses a model train to simulate the motion of a train through the tunnel. They set up a straight piece of track, with 2 stations. The acceleration, a, in m/s^2, of the train t seconds after it leaves the first station is modelled by the equation:

a = Pi/8*cos*Pi/4*t

We need to find the velocity and displacement of the train t seconds after it starts.

And secondly how can we describe the trains motion, using a sketch????

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## #2 2006-03-12 06:56:01

ryos
Member
Registered: 2005-08-04
Posts: 394

### Re: Integration

To get the velocity and displacement functions, you just integrate twice.

π/8 * cos(π/4 * t) dt = 1/2 sin(π/4 * t)
∫ 1/2 sin(π/4 * t) dt = -2/π cos(π/4 * t)

How can you describe the motion with a sketch? Well, that train oscillates, so that's a start.

El que pega primero pega dos veces.

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