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The device in figure is an acceleraomete...

The device in figure is an acceleraometer which is fitted to a car. It consist of a spherical ball, mass 0.08 kg, attached to a pointer which can move horizontally against a fixed scale that gives the acceleration of the car, O indicates zero acceleration. On each side of the ball are attached identical springs, `S_(1)` and `S_(2)`. that are fixed at their ends. The device is enclosed in a rigid transparent housing. The car accelerates towards A.

If the car starts from rest at time t=0 and travels along a straight road. The accelerometer readings are recorded in table.
`{:("Time//s","Acceleration//ms^(2)"),(0.00-3.00,11.00),(3.00-4.50,7.00),(4.50-7.00,0.00):}`
How far does the car travel in the first 7.00s?

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