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A fish swimming in a horizontal plane has velocity v, = (4.00i + 1.00j) m/s at a point in the ocean where the position relative to a certain rock is r, = (11.01 – 6.00j) m. After the fish swims with constant acceleration for 21.0 s, its velocity is v = (19.0î – 7.00j) m/s. (a) What are the components of the acceleration of the fish? (b) What is the direction of its acceleration with respect to unit vector î? (c) If the fish maintains constant acceleration, where is it at t = 27.0 s, and in what direction is it moving?

A fish swimming in a horizontal plane has velocity v, = (4.00i + 1.00j) m/s at a point in the ocean where the position relative to a certain rock is r, = (11.01 – 6.00j) m. After the fish swims with constant acceleration for 21.0 s, its velocity is v = (19.0î – 7.00j) m/s. (a) What are the components of the acceleration of the fish? (b) What is the direction of its acceleration with respect to unit vector î? (c) If the fish maintains constant acceleration, where is it at t = 27.0 s, and in what direction is it moving?

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Analysis Model Tutorial A fish swimming in a horizontal plane has velocity v, = (4.00i + 1.00j) m/s at a point in the ocean where the position relative to a certain rock is r, = (11.0î – 6.00j) m. After the fish swims with constant acceleration for 21.0 s, its velocity is v = (19.01 – 7.00j) m/s. (a) What are the components of the acceleration of the fish? (b) What is the direction of its acceleration with respect to unit vector î? (c) If the fish maintains constant acceleration, where is it at t = 27.0 s, and in what direction is it moving? Part 1 of 9 - Conceptualize: We see that we are given the initial conditions for the motion of the fish at t = 0: its initial position and its initial velocity. It swims for 21.0 s, and we now know the final velocity of the fish at t = 21.0 s. From this information, we want to find its acceleration and then some information about the fish at a later time of 27.0 s. We expect the acceleration to be something reasonable for a fish, that is, much less than the acceleration due to gravity. We also expect the acceleration to have components in both the x and y directions. (1) Which of the graphs below is the best choice to represent the initial conditions in this problem, showing the correct initial position vector for the fish (in black) and the correct initial velocity vector for the fish (in red)? (b) (0) (d) choice (a) above O choice (b) above O choice (c) above O choice (d) above none of the above
Transcribed Image Text:Analysis Model Tutorial A fish swimming in a horizontal plane has velocity v, = (4.00i + 1.00j) m/s at a point in the ocean where the position relative to a certain rock is r, = (11.0î – 6.00j) m. After the fish swims with constant acceleration for 21.0 s, its velocity is v = (19.01 – 7.00j) m/s. (a) What are the components of the acceleration of the fish? (b) What is the direction of its acceleration with respect to unit vector î? (c) If the fish maintains constant acceleration, where is it at t = 27.0 s, and in what direction is it moving? Part 1 of 9 - Conceptualize: We see that we are given the initial conditions for the motion of the fish at t = 0: its initial position and its initial velocity. It swims for 21.0 s, and we now know the final velocity of the fish at t = 21.0 s. From this information, we want to find its acceleration and then some information about the fish at a later time of 27.0 s. We expect the acceleration to be something reasonable for a fish, that is, much less than the acceleration due to gravity. We also expect the acceleration to have components in both the x and y directions. (1) Which of the graphs below is the best choice to represent the initial conditions in this problem, showing the correct initial position vector for the fish (in black) and the correct initial velocity vector for the fish (in red)? (b) (0) (d) choice (a) above O choice (b) above O choice (c) above O choice (d) above none of the above
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