16 Rectilinear Motion

16 Rectilinear Motion - 16. RECTILINEAR MOTION 1. A...

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Unformatted text preview: 16. RECTILINEAR MOTION 1. A particle P 1 moves along the x-axis with constant acceleration of 2 metres per second per second. At time t = 0, P 1 has position 8 metres and velocity 2 metres per second. Another particle P 2 moves along the x-axis according to the equation x 2 = - t 2 + 4 t + 2 where x 2 is the position of P 2 in metres at time t seconds. (a) [4 marks] Show that P 1 and P 2 do not collide. __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ (b)[3 marks] Find the smallest distance between P 1 and P 2. __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ VET Calculus 100 16. Rectilinear Motion (c) [3 marks] Find the speeds of P 1 and P 2 at an arbitrary time t . __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ (d)[3 marks] In which interval do P 1 and P 2 move in the same direction? __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________...
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16 Rectilinear Motion - 16. RECTILINEAR MOTION 1. A...

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