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Using calculus, derive the distance kinematics formula x(t) for the case of a constant jerk. Use your new formula to solve thefollowing problem: A car is 150. meters from a building, initiallytravelling 30.0 m/s away from the building with an initialacceleration of 3.50 m/s2 and a constant jerk of -1.50m/s2. How far from the building will the car be in 7.50seconds?

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