The table gives coordinates of a particle moving through space along a smooth curve. y Z...
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The table gives coordinates of a particle moving through space along a smooth curve. y Z 0 2.8 9.4 3.9 0.5 3.9 7.7 3.3 1.0 4.5 6.0 3.2 1.5 5.9 6.8 2.8 2.0 7.5 7.9 2.5 [0.5, 1]: t (a) Find the average velocities over the time intervals [0, 1], [0.5, 1], [1, 2], and [1, 1.5]. (Round your answers to the nearest tenth.) [0, 1]: Vave = [1, 2]: [1, 1.5]: X Vave = Vave = Vave = (b) Estimate the velocity and speed of the particle at t = 1. (Use the time intervals [0.5, 1] and [1, 1.5] to calculate your answer. Round the speed to two decimal places.) v(1) = |v(1)| = The table gives coordinates of a particle moving through space along a smooth curve. y Z 0 2.8 9.4 3.9 0.5 3.9 7.7 3.3 1.0 4.5 6.0 3.2 1.5 5.9 6.8 2.8 2.0 7.5 7.9 2.5 [0.5, 1]: t (a) Find the average velocities over the time intervals [0, 1], [0.5, 1], [1, 2], and [1, 1.5]. (Round your answers to the nearest tenth.) [0, 1]: Vave = [1, 2]: [1, 1.5]: X Vave = Vave = Vave = (b) Estimate the velocity and speed of the particle at t = 1. (Use the time intervals [0.5, 1] and [1, 1.5] to calculate your answer. Round the speed to two decimal places.) v(1) = |v(1)| =
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