A river of width' a'with straight parallel banks flows due north with speed u. The points O and A are on oppositebanks and A is due east of O. Coordinate axes Ox and Oy are taken in the east and north directions respectively. Aboat, whose speed is v relative to water, starts from O and crosses the river. If the boat is steered due east and uvaries with x as : u = x(a – x)-Find :absolute velocity of boatman when he reaches the opposite bank

Answered: Image /qna-images/answer/fdd99855-e3c5-496f-9cc9-4cddecd04e4b.jpg

Answered: A river of width' a'with straight…

Similar questions

Problem 1: A car is moving on a straight road in a fixed direction at a constant speed of v = 31 km/h with respect to the road. You wish to state the kinematic vectors of the motion of the car by using a Cartesian coordinate system whose positive x-axis is pointed in the direction of the motion of the car and the origin is fixed at some point on the road. Part (a) What is the expression for the velocity of the car, using the speed v and the unit vectors i, j, and k?
A river of width' a' with straight parallel banks flows due north with speed u. The points O and A are on opposite banks and A is due east of O. Coordinate axes Ox and Oy are taken in the east and north directions respectively. A boat, whose speed is v relative to water, starts from O and crosses the river. If the boat is steered due east and u varies with x as: u = x(a – x). Find: equation of trajectory of the boat
I need to solve v(sub y)=v(sub 0)sin θ(sub 0)-gt to find the time that it takes the projectile to reach maximum height (so I believe I'm solving for t?). I have previously found v(sub 0y) in part (a), but I'm unsure what v(sub 0) and v(sub y) are. How do I find those variables?
The speedboat B is cruising to the north at 74 mi/hr when it encounters an eastward current of speed vc = 13 mi/hr but does not change its heading (relative to the water). Determine the subsequent velocity of the boat relative to the wind and express your result as a magnitude Vrel and compass direction e measured clockwise from north. The current affects the motion of the boat; the southwesterly wind of speed vw= 19 mi/hr does not. 30 Answers: Vrel = i mi/hr A =
A small ship capable of making a speed of 6.5 knots through still water maintains a heading due east while being set to the south by an ocean current. The actual course of the boat is from A to B, a distance of 8.3 nautical miles that requires exactly 1.6 hours. Determine the speed v. of the current and its direction 0 measured clockwise from the north. N(0°) A -E(90°) 11 Answers: Vc = i knots i
Water leaves a fireman’s hose (held near the ground) with an initial velocity v0 = 11.5 m/s at an angle θ = 30.5° above horizontal. Assume the water acts as a projectile that moves without air resistance. Use a Cartesian coordinate system with the origin at the hose nozzle position, as shown. 1). Using v0, θ, and g, write an expression for the time, tmax, the water travels to reach its maximum vertical height. 2)
Problem 3-44a: Three vectors A, B, and C have X components of -7.0, -3.0, 0.0, respectively, and y components of -3.0, 5.0, 8.0, respectively. Find the magnitude of A + B + C. Problem 3-44b: Find the direction of A + B + C in degrees. (NOTE: angles are entered as values between 0° and 180°.)
Johnny comes across a river that is 252 meters wide. He sees that the water flows eastward with a uniform velocity of 1.10m/s. Johnny sees his friend Sarah start her boat at point A on the south bank and start to cross the river to point B which is on the other side. Suppose the trip takes 3 minutes. Figure out the velocity of sarah's boat with respect to a) Johnny who is stationary on the ground b) A floating goose that's moving with the water. N B W-E S Vriver = 1.1 m/s A 252 m
An experimentalist in a laboratory finds that a particle has a helical path. The position of this particle in the laboratory frme is given by r(t)= R cos(wt)i + R sin(wt)j + vztk R,vz, and w are constants. A moving frame has velocity (Vm)L= vzk relative to the laboratory frame. In vector form: A)What is the path of the partical in the moving frame? B)what is the velocity of the particle as a function of time relative to the moving frame? C)What is the acceleration of the particle in each frame? D)How should the accelerartion in each frame be realted?Does your answer to part c make sense?
You are on a train that is traveling at 3.0 m/s along a level straight track. Very near and parallel to the track is a wall that slopes upward at a 12° angle with the horizontal. As you face the window (0.777 m high, 2.26 m wide) in your compartment, the train is moving to the left, as the drawing indicates. The top edge of the wall first appears at window corner A and eventually disappears at window corner B. How much time, in seconds, passes between appearance and disappearance of the upper edge of the wall? A B A 3.0 m/s 12⁰ B
The engine of a boat drives it across a river that is 1800 m wide. The velocity vBW of the boat relative to the water is 4.0 m/s, directed perpendicular to the current (flowing east). The velocity vWS of the water relative to the shore is 2.0 m/s. What is the velocity vBS of the boat relative to the shore? (Note: velocity is vector so it has both magnitude and direction!) How long does it take for the boat to cross the river?
A student throws a water balloon with speed v0 from a height h = 1.82 m at an angle θ = 29° above the horizontal toward a target on the ground. The target is located a horizontal distance d = 5.5 m from the student’s feet. Assume that the balloon moves without air resistance. Use a Cartesian coordinate system with the origin at the balloon's initial position. A) What is the position vector , Rtarget, that originates from the balloons original position and terminates at the target? Put this in terms of h and d, and represent it as a vector using i and j. B) In terms of the variables in the problem , determine the time,t, after the launch it takes the balloon to reach the target. Your answer should not include h. C) Create an expression for the balloons vertical position as a function of time, y(t), in terms of t, v0, g, and θ.

SEE MORE QUESTIONS