20 Vector Calculus

20 Vector Calculus - 20. VECTOR CALCULUS 1. A golfer...

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Unformatted text preview: 20. VECTOR CALCULUS 1. A golfer strikes a ball with initial velocity 18 i + 20 j metres per second where i is horizontal and j is vertical. Throughout the flight of the ball the acceleration due to gravity is 10 j . The point where the ball lands is at the same height as the point from which it was struck. Find (a) [2 marks] the velocity of the ball after t seconds __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ (b)[2 marks] the position vector of the ball after t seconds __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ (c) [1 mark] the initial speed of the ball __________________________________________________________________________________ __________________________________________________________________________________ (d)[3 marks] the horizontal distance the ball travels __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ (e) [2 marks] the maximum height reached by the ball. VET Calculus 124 20. Vector Calculus __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ VET Calculus 125 20. Vector Calculus 2. A particle, P , is moving in a horizontal plane. Its acceleration at any time, t , is sin t i + 2 cos t j . At time t = 0 the particle is at the point (0, -2) moving with velocity i . Find expressions for (a) [3 marks] the velocity at time t . __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ (b)[3 marks]...
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This note was uploaded on 09/01/2010 for the course MATH MAT1300 taught by Professor Mcdonald during the Spring '10 term at Acadia.

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20 Vector Calculus - 20. VECTOR CALCULUS 1. A golfer...

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