Choose two successive points. In the space at right, sketch the velocity vectors corresponding to those points. Draw the vectors side-by-side and label them
Determine the vector that must be added to the velocity at the earlier time to equal the velocity at the later time. Is the name change in velocity appropriate for this vector?
How does the direction of the change in velocity vector compare to the direction of the velocity vectors in this case?
Would your answer change if you were to select two different points during the time that the ball was speeding up? Explain.
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- Assuming the axis is horizontal to the right for the vectors in the following figure, find the following scalar products (a) (b) (c) (d) (e) (g) and (h)arrow_forwardFind the vector projection of b in the direction of a: proj„b. Then, sketch proj„b on the diagram. You can reconstruct the diagram in your solution rather than scanning this page.arrow_forwardVector addition is often illustrated graphically with a parallelogram diagram, as shown below. b a a b Suppose this diagram rolates to the vectors for Initial position, final position, and displacemont of an object in motion. Suppose the origin of coordinates is the lower-left coner of the parallelogram and that the initial position is shown by vector Then, the displacement vector could correspond to: a+barrow_forward
- Add the following vectors using the component method. Give your answer in both component form and polar coordinate form. Make a sketch to represent each problem by drawing both vectors and the resultant. 1) 3 m/s at 45 degrees and 5 m/s at 135 degrees.arrow_forwardYou first walk 10 meters at an angle of 30 degrees East of North. Then,you walk 15 meters at an angle of 45 degrees South of East. Assume that East is +x and North is+y, and assume you started at the origin (0,0). A. Make a graph with x- and y-axes and draw your path on that graph (to scale, or at least asclose as you can get). Start the first vector at the origin, and the second vector at the tip ofthe first vector. Then, draw the resultant vector (their sum). B. Break each part of the walk into their x- and y-components and then sum them to get thex- and y-components of the resultant vector. Make sure to include units and unit vectors. C. What is your displacement from where you originally started? D. If the whole walk took 40 seconds, then what was your average velocityarrow_forwardWhich of the following is NOT true regarding the graphical method used for the addition of vectors? Select one: The tail of FB is connected from the tip of FA. O The origin resultant FR is the same as that of FA. O FA and FB are drawn from the same origin. O The resultant FR is drawn from the tail of FA to the tip of FB.arrow_forward
- Consider two vectors: E₁ with magnitude 7 N/C and at an angle of 20 degrees above the positive direction, and E2 with magnitude 5 N/C and at an angle of 30 degrees to the left of the positive y direction. = (a) Visualizing vector sums: Draw a vector sum diagram illustrating the sum EN = E + E₂ and another of the vector difference E₁ - EN - E2. Make sure to label your arrows. Please make the diagram as close to scale as possible (use a ruler to measure, or use a program that lets you draw accurately.) (b) Interpreting vector diagrams: From the diagram, should the magnitude of the sum be larger or smaller than 7 N/C? From the diagram, predict the general direction of the sum, within 1/8 of a circle (for instance, between 0 and 45 degrees above the x axis, etc.) Note, this is one good way to check your own answers when working with vectors. (c) Calculating vector components and sums: Compute the components and then the magnitude and direction of the sum. For direction, we want the angle…arrow_forwardA trapper walks a 5.0-km straight-line distance from her cabin to the lake, as shown in the following figure. Determine the east and north components of her displacement vector. How many more kilometers would she have to walk if she walked along the component displacements? What is her displacement vector?arrow_forwardYour boat is moving at a speed of 15 miles per hour at an angle of 25° upstream on a river flowing at 4 miles per hour. The situation is illustrated in the given figure. Solve, a. Find the vector representing your boat’s velocity relative to the ground. b. What is the speed of your boat, to the nearest mile per hour, relative to the ground? c. What is the boat’s direction angle, to the nearest tenth of a degree, relative to the ground?arrow_forward
- An invented robot can comprehend time through resultant vector once the hour hand and minute hand vectors were added together. Assuming that both vectors point from the center, outward. The length of the hour hand is 5.10 cm while the length of the minute hand is 10.50 cm Follow this given format in answering each sub-item: a. Draw the position of the hour and minute on clock for time configuration. Label with relevant angles and magnitudes b. Decompose the components of each vector along the x and y direction c. Calculate for the resultant vector and express in the form required in each item What would you tell the robot if the current time is: A. 10:30 AM, in bearing form? (FORM: magnitude - direction angle) B. 1:25 PM, in unit vector form? (FORM where Ā = Āx + Ãy = Ax î + Ay§. )arrow_forwardA drone flies the following displacement vectors in the sequence indicated. It starts flying West for 50-m, then it flies for 70-m in a direction of 30° North of East, then it flies South for 100-m, and finally, it flies for 80-m in a direction of 60° East of South. a. Draw a rough sketch that shows the displacement vectors. b. Use the component method to find the Resultant Displacement and Direction (with respect to the –x or +xaxis) of the drone relative to the starting point.arrow_forwardSuppose you first walk 12.0 m in a direction 20 west of north and then 20.0 m in a direction 40.0º south of west. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in Figure 22, then this problem finds their sum R = A + B.)arrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University