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Grade: 11

                        

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?

5 years ago

Answers : (2)

Aditi Chauhan
askIITians Faculty
396 Points
							236-410_1.PNG
The negative value of t1 can be ignored to have
236-1667_1.PNG
Therefore, the collision occurs after 12.2 s .
236-1282_1.PNG
5 years ago
ankit singh
askIITians Faculty
596 Points
							

The component of velocity of B along x and y-directions:
VBX=20cos60o=20×21=10 m/s

VBY=20sin60=2023=203 m/s 
And, VA=10i^
VB=10i^+103j^
VBA=VBVA=10i^+103j^10i^=103j^
2 months ago
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