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A particle A moves along the line y = d (30 m) with a constant velocity (v= 3.0 m/s) directed parallel to the positive x axis (Fig. 4-40). A second particle B starts at the origin with zero speed and constant acceleration (a = 0.40 m/s2) at the same instant that particle A passes the y axis. What angle θ between and the positive y axis would result in a collision between these two particles? A particle A moves along the line y = d (30 m) with a constant velocity (v= 3.0 m/s) directed parallel to the positive x axis (Fig. 4-40). A second particle B starts at the origin with zero speed and constant acceleration (a = 0.40 m/s2) at the same instant that particle A passes the y axis. What angle θ between and the positive y axis would result in a collision between these two particles?
The negative value of t1 can be ignored to haveTherefore, the collision occurs after 12.2 s .
The component of velocity of B along x and y-directions:VBX=20cos60o=20×21=10 m/sVBY=20sin60=2023=203 m/s And, VA=10i^VB=10i^+103j^VBA=VB−VA=10i^+103j^−10i^=103j^
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