Two swimmers, Chris and Sarah, start together at the same point on the hank, of a wide stream that flows with a speed v . Both move at the same speed c (where c > v ) relative to the water. Chris swims downstream a distance L and then upstream the same distance. Sarah swims so that her motion relative to the Earth is perpendicular to the hanks of the stream. She swims the distance L and then back the same distance, with both swimmers returning to the starting point. In terms of L , c , and v , find the time intervals required (a) for Chris’s round trip and (b) for Sarah’s round trip. (c) Explain which swimmer returns first.
Two swimmers, Chris and Sarah, start together at the same point on the hank, of a wide stream that flows with a speed v . Both move at the same speed c (where c > v ) relative to the water. Chris swims downstream a distance L and then upstream the same distance. Sarah swims so that her motion relative to the Earth is perpendicular to the hanks of the stream. She swims the distance L and then back the same distance, with both swimmers returning to the starting point. In terms of L , c , and v , find the time intervals required (a) for Chris’s round trip and (b) for Sarah’s round trip. (c) Explain which swimmer returns first.
Two swimmers, Chris and Sarah, start together at the same point on the hank, of a wide stream that flows with a speed v. Both move at the same speed c (where c > v) relative to the water. Chris swims downstream a distance L and then upstream the same distance. Sarah swims so that her motion relative to the Earth is perpendicular to the hanks of the stream. She swims the distance L and then back the same distance, with both swimmers returning to the starting point. In terms of L, c, and v, find the time intervals required (a) for Chris’s round trip and (b) for Sarah’s round trip. (c) Explain which swimmer returns first.
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 35m downstream from his starting point.
How fast is the water in the river flowing with respect to the ground in m/s?
A rabbit runs across a parking lot on which a set of coordinate axes has, strangely enough, been drawn. The coordinates (meters) of the rabbit's position as functions of time t (seconds) are given by: x = -0.31t2 +7.2t+28 and y = 0,22t² - 9.1t+ 30. A) Att = 15 s, what is the rabbit's position vector in unit-vector notation and n magnitude-angle notation? B) Find the velocity vector at time t = 15 s. c) find the acceleration a at time t = 15s.
A football player runs for a distance d1 = 7.17 m in 1.08 s, at an angle of θ = 41 degrees to the 50-yard line, then turns left and runs a distance d2 = 10.66 m in 1.62 s, in a direction perpendicular to the 50-yard line. The diagram shows these two displacements relative to an x-y coordinate system, where the x axis is parallel to the 50-yard line, and the y axis is perpendicular to the 50-yard line.What is the magnitude of the total displacement, in meters? What angle, in degrees, does the displacement make with the y axis? (Note that the angle θ was given as measured from the x axis rather than the y axis.) What is the magnitude of the average velocity, in m/s? What angle, in degrees does the average velocity make with the y axis? (Note that the angle θ was given as measured from the x axis rather than the y axis.)
Chapter 4 Solutions
Physics for Scientists and Engineers, Technology Update, Hybrid Edition (with Enhanced WebAssign Multi-Term LOE Printed Access Card for Physics)
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