# LTI Acceleration sensor

## Homework Statement

Please see he attached file for the problem text.

## Homework Equations

The output ##y(t) = h(t) * x(t)##, where ##h(t)## is the system's impulse response while ##x(t)## is the input signal.

Laplace transformed, the formula above turns into ## Y(s)=H(s) \cdot X(s)##, where ##H(s)## is the transfer function.

## The Attempt at a Solution

Uhm, well.. I am very lost.

1) Why does the transfer function have units Volt/Acceleration ? Isn't it the impulse response that should have those units?

2) Why exactly does a laplace-transform of a signal move the signal to the frequency domain? Is it just because the new variable has units 1/Second ?

Anyway, to solve this problem I know that ##X(s)=a_0/s##, since ##x(t) = a_0 u(t)##, with ##u(t)## being the unit-step function. But how do I proceed?

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