A force measurement system (i. e. a scale) has the following specifications:Range: 0 to 1000 NLinearity Error: 0.10% Full Scale Output (FSO)Hysteresis Error: 0.10% FSOSensitivity Error: 0.15% FSOZero Drift:0.20% FSOEstimate the overall systematic uncertainty for this system, using the maximum possible FSO in your computations. If the sensitivity of the instrument is 5 mV/N, what is the uncertainty in voltage output that wouldbe observed as a result of the sensor uncertainty when a mass of 40 kg is placed on the system?

Aparticle's position is given by x = 3.00 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) what is its velocity at t = 1 s? (b) is it moving in the positive or negative direction of x just then? (c) what is its speed just then? (d) is the speed increasing or decreasing just then? (try answering the next two questions without further calculation.) (e) is there ever an instant when the velocity is zero? if so, give the time t; if not, answer "0". (f) is there a time after t = 3 s when the particle is moving in the negative direction of x? if so, give the time t; if not, answer "0".