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(1) Which of the following is false? (a) When an object has constant position it has zero acceleration. (b) When an object has constant velocity

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(1) Which of the following is false? (a) When an object has constant position it has zero acceleration. (b) When an object has constant velocity it has zero acceleration. (c) When an object has constant speed it has zero acceleration. (d) When an object moves with zero acceleration it has constant velocity. (e) When an object moves with zero acceleration it moves along a line. (2) Find the second component of T(1) to the nearest hundredth, where T(t) is the unit tangent vector function of u(t) = (t, In (1 + 152)). (3) Consider an object moving along a helical path in space (assume negligible gravity) with position given by 77(15) = (cos(t2), sin(t2), 752) for 0 S t g 3:7\". Suppose that at the point (, , 5:7\") the object veers off the helix and moves along the tangent line with constant velocity 17' ( 3f thereafter. Find the distance from the object to the origin 1 second after veering off the helical path. Round to the nearest hundredth

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