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What is the value of x

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Asked by Prashant DIGHE 10th July 2019, 4:03 PM
Answered by Expert
Answer:
Let particle A be at initial position (2,3) and particle B be at initial position (6,7) in the cartesian coordinate system.
 
Let both the particle collide at C (p,q) as shown in figure
 
x-component velocity of A = 3 units ; x-displacement of A = (p-2) units ; time = (p-2)/3 .............(1)
x-component velocity of B = x units ; x-displacement of B = (p-6) units ; time = (p-6)/x .............(2)
 
hence we have,  (p-2)/3   = (p-6)/x  .................(3)
 
y-component velocity of A = 1 units ; y-displacement of A = (q-3) units ; time = (3-q)/1 .............(4)
y-component velocity of B = 5 units ; y-displacement of B = (q-7) units ; time = (7-q)/5 .............(5)
 
hence we have,  (3-q)/1   = (7-q)/5  .................(6)
 
By solving eqn.(6) fo q, we get q = 2   and time to collide is 1 s;
 
In eqn.(3),  (p-2)/3   = (p-6)/x = 1  .........................(7)
 
FRom eqn.(7), we get p = 5 and x = -1
Answered by Expert 10th July 2019, 6:39 PM
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