Two trains travel at constant velocity v₁ = 35 m/s and v2 = 100 m/s, as shown in the figure. 02 Y 45° X Find the tilt angle (in degrees) of the second train's rail, relative to the negative x direction (see figure), for which an observer on the first train will see the second train traveling along the y' direction alone. 46.2 X One possible correct answer is: 65.487315114723

As seen from the Earth, the distance from Earth to the Sunis 1.50 × 10¹¹ m. A certain particle travels that distance in only 9.36 min. Answer the three questions below, using three sig figs. Part A - What is the speed of the particle, v, as seen from Earth? V= VE ΑΣΦ ? m/s

Two speedboats are traveling at the same speed relative to the water in opposite directions in a moving river. An observer on the riverbank sees the boats moving at 4.0 m/s and 5.0 m/s. (a) What is the speed of the boats relative to the river? (b) How fast is the river moving relative to the shore?

If ů = (7,–6, 0) and i = (1, 1,0), find the length and direction of ủ x i and i x ū. Length of u x i is ... ... Direction of u xở is (If u X v does not have a direction, enter "none".) Length of i x ủ is Direction of ú xũ is (If i xủ does not have a direction, enter "none".)

A boat is docked on the southern shore of a swiftly moving river that is 262.0 m wide. The river flows from east to west with a speed of 4.00 m/s relative to the shore. There is a dock located upstream on the northern side of the river at an angle of 57.0∘57.0∘ relative to the shore (i.e. north of east). The boat is able to travel at a speed of 6.50 m/s relative to the water. If the boat travels directly to the dock on the northern shore at a constant speed, how long does it take to get there?

Problem 8 It is raining outside. From the perspective of an observer standing on the ground, the raindrops are falling vertically downward at a speed of 12 m/s. You are driving down the highway at a speed of 65 mph (29 m/s). What angle, relative to the horizontal will you see the raindrops falling?

Consider three displacement vectors A = (3x - 3ý) m, B = (- 4y) m,and C = (-28 + 5ý) m. The magnitude and direction of D = A+ B + Č is m and _of %3D %3D O 2.8, 45, S of W O 6.3, 18, S of W O 2.8, 45, N of E O 6.3, 18, N of E

An athlete crosses a 29 m wide river by swimming perpendicular to the water current at a speed of 1.1 m/s relative to the water. He reaches the opposite side at a distance 45 m downstream from his starting point. w = 29 md = 45 mvs = 1.1 m/s Part (a) How fast is the water in the river flowing with respect to the ground in m/s? Part (b) What is the speed of the swimmer with respect to a friend at rest on the ground in m/s?

Bob has just finished climbing a sheer cliff above a level beach and wants to figure out how high he climbed. All he has to use is a baseball, a stopwatch, and a friend on the ground below with a long measuring tape. Bob is a pitcher and knows that the fastest he can throw the ball is about vo = 33.7 m/s. Bob starts the stopwatch as he throws the ball, with no way to measure the ball's initial trajectory, and watches carefully. The ball rises and then falls, and after t₁ = 0.710 s the ball is once again level with Bob. Bob cannot see well enough to time when the ball hits the ground. Bob's friend then measures that the ball hit the ground x = 123 m from the base of the cliff. How high above the beach was the ball when it was thrown? initial height: X 1₁ m

9.  Car A is driving east on the highway, traveling at 21.66ms. Car B is driving east on the same highway and passes Car A. Car B is traveling at 23.01ms. If you are sitting in Car A, what is the speed of Car B from your frame of reference?Assume the direction east is in the positive direction.speed of the second car in your frame of reference =       ms*Round to the nearest hundredth if necessary.