55. A police officer is driving due north at a constant speed of 29 m/s relative to the ground when she notices a truck on an east-west highway ahead of her, driving west at high speed. She finds that the truck's speed relative to her car is 48 m/s (about 110 mph). (a) Sketch the vector trian- gle that shows how the truck's velocity relative to the ground is related to the police car's velocity relative to the ground and to the truck's velocity relative to the police car. The sketch need not be to scale, but the veloc- ity vectors should be oriented correctly and bear the appropriate labels. (b) What is the truck's speed, relative to the ground?

55. A police officer is driving due north at a constant speed of 29 m/s relative to the ground when she notices a truck on an east-west highway ahead of her, driving west at high speed. She finds that the truck's speed relative to her car is 48 m/s (about 110 mph). (a) Sketch the vector trian- gle that shows how the truck's velocity relative to the ground is related to the police car's velocity relative to the ground and to the truck's velocity relative to the police car. The sketch need not be to scale, but the veloc- ity vectors should be oriented correctly and bear the appropriate labels. (b) What is the truck's speed, relative to the ground?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 2.10CYU: Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by...

See similar textbooks

Similar questions

Figure OQ1.13 shows two vectors D1 and D2. Which of the possibilities (a) through (d) is the vector D22D1, or (e) is it none of them? Figure OQ1.13
Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?
A plane flies with the Jet Stream (tailwind) from Chicago to Rome in 9.1 hours, a flight distance of 7740 km. It returns, flying against the Jet Stream (headwind), in 10.8 hours. Calculate the average speed of the plane and the average speed of the wind. Must list assumptions, and draw 1D vector diagram!!! wr M
22. Three displacement vectors of a cro- quet ball are shown in Figure P3.22, where A 40.0 units, and |C (a) the resultant in unit-vector nota- 20.0 units, B 30.0 units. Find A. 45.0° tion and (b) the magnitude and direc- tion of the resultant displacement. 45.0 23. (a) Taking A = (6.00 i - 8.00 j) units, QIC B (-8.00 i + 3.00 j) units, and C = (26.0 i + 19.0 j) units, determine a Figure P3.2 and b such that a A + bB + C = 0. (b) A student has learned that a single equation cannot be solved to determine values for more than one unknown in it. How would you explain to him that both a and b can be determined from the single equation used in part (a):
1つ7 3. An object undergoes motion in 2 dimensions under a constant acceleration of "-2.50 m/s at an angle of 50.0° with respect to the + x direction. It also has an initial velocity of vi = 7.00 m/s at an angle of 10,0° The object begins at the coordinates (0, 0). a) What are the coordinates of the object at t = 7.00 s? Want Cx, y) at t =?4 4tzテメ0チ=XT vse this Con Vxi = \V;l cos v +ハ Ay=lalsin Ga b) What is its total velocity vector of the object as a magnitude and direction at t = 7.00 s? a) Ov= Ton
9. An ocean liner is steaming at 18 km/h due south. A passenger strolling on the deck walks toward the rear of the ship at 3.0 m/s. Afier walking for 12 s, he turns right and wallks at the same speed towards the rail, 15 m from his turning point. (a) What is his velocity, relative to the water, while walking towards the rear? While walking towards the rail? (b) Draw a scale vector diagram, or make a sketch and use the mathematical approach, to determine his resultant displacement relative to the water at the end of his walk.
5. A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by x = 18.0t and y = 4.00t is in seconds. (a) Write a vector expression for the ball’s – 4.90t², where x and y are in meters and t - position i and j. By taking derivatives, obtain expressions for (b) the velocity vector ỷ as a function of time and (c) the acceleration vector a as a function of time. (d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 3.00 s. as a function of time, using the unit vectors
VectorA⃗points in the negativeydirection and has a magnitude of 6 units. VectorB⃗has twice the magnitude and points in the positivexdirectionFind the direction and magnitude ofB⃗−A⃗.Express your answer as a whole number. and Express your answer using two significant figures.
A volcano shoots a lava bomb straight upward. Does the displacement of the lava bomb depend on (a) your choice of origin foryour coordinate system, or (b) your choice of a positive direction?Explain in each case.
At the beginning of a 3 hour trip you are traveling due north at 192 km/hour. At the end, you are traveling 240 km/hour at 45o west of north. (a) Draw the initial and final velocity vectors (b) Find Dv
An airplane leaves the runway heading south and flies for 2000km. It then heads 20 degree west to avoid a storm. After flying for 500km, it turns 40 degree toward the east and flies another 400km to its final destination. Calculate the displacement of the plane;s destination and the distance it travelled.
A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vo 19.5 m/s. The cliff is h = 37.0 m above a flat, horizontal beach as shown in the figure. (a) What are the coordinates of the initial position of the stone? Xo Yo m m (b) What are the components of the initial velocity? Vox Voy m/s m/s (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) ya (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) (e) How long after being released does the stone strike the beach below the cliff? (f) with what speed and angle of impact does the stone land? m/s below the horizontal