Created by StemPy LabA flood channel has straight, parallel sides apart, and its current runs at , the same all the way across. A canoeist paddles at a steady through the water, slower than the current, so the canoe is bound to be carried down the channel on the way across. The canoeist keeps one heading chosen to end up as short a distance downstream as possible. How far downstream of the starting point, measured along the channel, does the canoe reach the far side?
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← A stone is thrown from level ground at 16 m/s, at 53° above the horizontal. Ignore air resistance, and take g = 10 m/s², sin 53° = 0.8 and cos 53° = 0.6. At one instant during its flight, the stone's velocity is at right angles to its velocity of projection. What is its speed at that instant? Give the answer in m/s.Ball A is thrown from a point O on level ground at 30 m/s, at 53° above the horizontal, towards a point Q on the ground 60 m away. At the same instant, ball B is thrown from Q, in the same vertical plane, so that the two balls hit each other in the air, as shown in the figure. Ignore air resistance, and take g = 10 m/s², sin 53° = 0.8 and cos 53° = 0.6. With what least speed, and in what direction, can B be thrown, and how high above the ground do the balls then meet? →
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