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12 Nov 2019
3. A particle starts at (0, 0) and moves in the plane with velocity q?(t) = (t, sin t). (a) Where is the particle at time t = 2? That is, what is q(2)? (b) Find a. formula for the speed of the particle at time t and sketch its graph. (Remember speed is a. scalar.) Is the particle speeding up or slowing down at time t = 2? (c) Compute q?(2) q?(2). How does this relate to your answer to Part (b)? (d) Find both an underestimate and overestimate for how far the particle traveled from t = 0 to t = 2. (Note this is asking for the distance traveled along its path, not just the net displacement.)
3. A particle starts at (0, 0) and moves in the plane with velocity q?(t) = (t, sin t). (a) Where is the particle at time t = 2? That is, what is q(2)? (b) Find a. formula for the speed of the particle at time t and sketch its graph. (Remember speed is a. scalar.) Is the particle speeding up or slowing down at time t = 2? (c) Compute q?(2) q?(2). How does this relate to your answer to Part (b)? (d) Find both an underestimate and overestimate for how far the particle traveled from t = 0 to t = 2. (Note this is asking for the distance traveled along its path, not just the net displacement.)
Tod ThielLv2
27 Feb 2019