Friday, July 31, 2009

At time t=0, a boat is travelling due east at a speed of 3ms.The vectors i and j are directed east and north.?

a)Write down the initial velocity of the boat in vector form?





b)The boat has a constant acceleration of (0.1i + 0.2j)ms =. Find an expression for the velocity of the boat at time, t seconds?





c)When t=T, the boat is travelling north east. Form an equation that T must satisfy, and solve it to show that T = 30?





d) Find the distance of the boat from its initial position when t = 20?

At time t=0, a boat is travelling due east at a speed of 3ms.The vectors i and j are directed east and north.?
a) (3,0) or 3i








b) (3,0) + (0.1t + 0.2t) = (3+0.1t,0.2t)





c) Northeast means that speed in direction i is same as speed in direction j:


3+0.1T = 0.2T -%26gt; 3 = 0.1T -%26gt; T = 30





d) x = v_init * t + acc * t²


(x,y) = (3,0) * t + (0.1,0.2) t² = (60,0) + (40,80) = (100,80)


So position at time t = (100,80)


Distance to (0,0) is sqrt(100² + 80²) = 128 m
Reply:What is a speed of three milliseconds?





Here it is in vector form:


%26lt;-------





I can't be bothered to answer the rest of your homework. Do it yourself f'r chrissakes.


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