A small, battery-powered, electric motorboat that can travel at a speed of 1.80 m/s in still...

 

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A small, battery-powered, electric motorboat that can travel at a speed of 1.80 m/s in still water is operating in a river with a flow speed of 1.30 m/s. For each of the following two cases, determine the requested information for a river that is 228 m wide. (a) Case 1: when the boat is pointed straight across the river, determine the speed vb of the boat as viewed by someone on land, the distance d the boat is swept downstream before reaching the other side, and the time t it takes the boat to make the crossing. Vbl = 2.23 m/s 228 X d=What trig function relates the speed of the boat with respect to the water to the speed of the water with respect to land? How is the distance the boat is swept downstream related to the width of the river? m 102.70 X How are speed, distance, and time related? What is the speed of the boat across the river? s (b) Case 2: if the boat operator wants to land the boat straight across the river from the launch site, determine the speed vbl of the boat as viewed by someone on land, the angle & upstream at which the boat should be pointed, and the time t it takes the boat to make the crossing. X Vbl 2.22 How does the Pythagorean Theorem relate the three velocities of interest? m/s 35.84 X B= What trig function relates the speed of the boat with respect to the water to the speed of the water with respect to land? 126.66 t = X How are speed, distance, and time related? What is the speed of the boat across the river? s A small, battery-powered, electric motorboat that can travel at a speed of 1.80 m/s in still water is operating in a river with a flow speed of 1.30 m/s. For each of the following two cases, determine the requested information for a river that is 228 m wide. (a) Case 1: when the boat is pointed straight across the river, determine the speed vb of the boat as viewed by someone on land, the distance d the boat is swept downstream before reaching the other side, and the time t it takes the boat to make the crossing. Vbl = 2.23 m/s 228 X d=What trig function relates the speed of the boat with respect to the water to the speed of the water with respect to land? How is the distance the boat is swept downstream related to the width of the river? m 102.70 X How are speed, distance, and time related? What is the speed of the boat across the river? s (b) Case 2: if the boat operator wants to land the boat straight across the river from the launch site, determine the speed vbl of the boat as viewed by someone on land, the angle & upstream at which the boat should be pointed, and the time t it takes the boat to make the crossing. X Vbl 2.22 How does the Pythagorean Theorem relate the three velocities of interest? m/s 35.84 X B= What trig function relates the speed of the boat with respect to the water to the speed of the water with respect to land? 126.66 t = X How are speed, distance, and time related? What is the speed of the boat across the river? s