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Q.1. A man can swim with a speed of 4.0 km h¯¹ in still water. How long does he take to cross a river 1.0 km wide if the river flows steadily at 3.0 km h¯¹ and he makes his strokes normal to the river current? How far down the river does he go when he reaches the other bank?Solution-:
Q. 2. The position of a particle is given by
r=(3.0t i−2.0t²j+4.0 k) m where t is in seconds and the coefficients have the proper units for r to be in metres.
A) Find the Velocity and Acceleration of the particle ?B) What is the magnitude and direction of velocity of the particle at t = 2.0 s ?
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