An object is moving along a straight line. Time t is measured in seconds. The velocity is ?(?) = −2?(? − 1)(? − 4), applicable when 0 ≤ ? ≤ 4. a.) Determine when the motion is in the positive direction, and when it is in the negative direction. b.) Find the displacement for 0 ≤ ? ≤ 4. c.) Find the distance traveled for 0 ≤ ? ≤ 4.
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Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
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An object is moving along a straight line. Time t is measured in seconds. The velocity is
?(?) = −2?(? − 1)(? − 4), applicable when 0 ≤ ? ≤ 4.
a.) Determine when the motion is in the positive direction, and when it is in the negative direction.
b.) Find the displacement for 0 ≤ ? ≤ 4.
c.) Find the distance traveled for 0 ≤ ? ≤ 4.
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