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S7. Rain falls with a velocity of (26k) where and k are unit vect ...
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S7. Rain falls with a velocity of (2−6k) where and k are unit vectors in the horizontal and vertical directions, respectively. At what angle does the rain hit the ground? A cyclist travels through the rain at u and notices the rain appearing to fall at a 45∘ angle into her face. What is the velocity of the cyclist? S8. A ball is fired with angle of projection 30∘ with respect to the horizontal and an initial speed of 20ms−1 under the action of gravity. Find its position when it is at its greatest height. S9. A 3kg mass is suspended from a string under gravity. What is the tension in the string? The string is then pulled upwards and the mass accelerates upwards with an acceleration of 2ms−2. What is the new tension in the string? 10. A mass of 6kg is projected along a mostly smooth horizontal surface with initial velocity u. It passes over a rough section, during which time 24J of heat is released due to friction. Its final velocity after emerging from this rough section is 4ms−1. Find its initial velocity u.