E + N W S -S A person is rowing across the river with a velocity of 4.5 km/hr northward. The river is flowing eastward at 3.5 km/hr as shown in the image below. What is the magnitude of her velocity (v) with respect to the shore? Vriver VIOW
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- A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vi = 18.0 m/s. The cliff is h = 50.0 m above a body of water as shown in Figure P4.13. (a) What are the coordinates of the initial position of the stone? (b) What are the components of the initial velocity of the stone? (c) What is the appropriate analysis model for the vertical motion of the stone? (d) What is the appropriate analysis model for the horizontal motion of the stone? (e) Write symbolic equations for the x and y components of the velocity of the stone as a function of time. (f) Write symbolic equations for the position of the stone as a function of time. (g) How long after being released does the stone strike the water below the cliff? (h) With what speed and angle of impact does the stone land? Figure P4.13Two birds begin next to each other and then fly through the air at the same elevation above level ground at 22.5 m/s. One flies northeast, and the other flies northwest. After flying for 10.5 s, what is the distance between them? Ignore the curvature of the Earth.A person is rowing across the river with a velocity of 4.5 km/hr northward. The river is flowing eastward at 3.5 km/hr as shown in the image below. What is the magnitude of her velocity (v) with respect to the shore? Vrow Vriver V W N S E
- At the beginning of a 3.0-h plane trip, you are traveling due north at 192 km/h. At the end, you are traveling 239 km/h in the northwest direction (45° west of north). a. Which of the following are the initial and final velocity vectors? SEE ATTACHMENTS b. Find the magnitude of the change in velocity. anser in km/h c. Find the change in direction of your velocity. Enter the angle in degrees where negative indicates north of west and positive indicates south of west. answer in degrees d. What is the magnitude of your average acceleration during the trip? answer in km/h^2Sheena can row a boat at 3.20 mi/h in still water. She needs to cross a river that is 1.20 mi wide with a current flowing at 1.80 mi/h. Not having her calculator ready, she guesses that to go straight across, she should head upstream at an angle of 25.0° from the direction straight across the river. a.)What is her speed with respect to the starting point on the bank? b.)How long does it take her to cross the river?A river flows due south with a speed of 1.5 m/s. You steer a motorboat across the river; your velocity relative to the water is 5.2 m/s due east. The river is 500 mm wide. A) What is the magnitude of your velocity relative to the earth? B) What is the direction of your velocity relative to the earth? C) How much time is required to cross the river? D) How far south of your starting point will you reach the opposite bank?
- B6A passenger on a moving train walks at a speed of 1.60 m/s due north relative to the train. The passenger's speed with respect to the ground is 4.5 m/s at an angle of 33.0° west of north. What are the magnitude and direction of the velocity the train relative to the ground? magnitude m/s direction o west of northA golf ball is driven with the initial conditions shown in the figure. If the wind imparts a constant horizontal deceleration of 3.1 ft/sec², determine the values of r,r,r,0,0, and when t - 1.07 sec. Take the r-coordinate to be measured from the origin. Answers: r- 7 ! 0- 0- 0- i i i i i i 129 mi/hr 80 = 27° ft ft/sec ft/sec² rad/sec Wind rad/sec²
- An airplane pilot wishes to fly directly westward. According to the weather bureau, a wind of 75.0 km/hourkm/hour is blowing southward. The speed of the plane relative to the air (called the "air speed") as measured by instruments aboard the plane is 310 km/hourkm/hour . In which direction should the pilot head? a)What is the speed of the air relative to a person standing on the ground, vA/G? What is the speed of the plane relative to the air, vP/A?An airplane is flying south at a speed Vi= 25m/s. It then accelerates in a direction 10 degrees north of east with magnitude a. After t seconds, the airplane's velocity is now pointing due east. What is the airplane's speed at this point? Please draw a tail to tip diagram of the problem.a. Vector 'a' has magnitude 5.0m and is directed east. T 2 Vector 'b' has magnitude 4.0m and is directed 350 west of north. What are (a) the magnitude and (b) the direction of 'a +b'? d. Is it possible for a body moving on a circular track to have zero acceleration? Explain vividly if Yes or No e. An electron moving along the x axis has a position given by is the electron from the origin when it momentarily stops? x = (16tet) m, where t is in seconds. How far Dizam