Question

Vector A -(x i cap+6j cap) m/s and vector B - (3 i cap +2 j cap) m/s, find x such that the relative speed of A with
respect to B becomes 5 m/s..
A. 3
B. 4
C. 5
D. 6​

Answer 1

Answer:

3 are correct

Explanation:

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Answer 2

Answer:

option (d) : 6

Explanation:

The velocity of a body  A  is  xi^+6j^  m/s and the velocity of a body  B  is  3i^+2j^  m/s. Find the value of  x  such that the relative speed of  A  with respect to  B  becomes  5  m/s.

Relative velocity of A w.r.t B =║A- B ║ = 5

∴ A - B

=(xi+6j)-(3i+2j)=(x-3)i+(6-2)j

(x-3)i+4j=5

║A - B║ = 5

√[ (x-3) ² + (4)²] = 5

x² + 9 - 6x + 16 = 25

 x² - 6x  = 0

x(x - 6) = 0

x = 0 or x = 6

2

- 6x+9+16=25

X

2

=6x

Or the value of x is given by

X=6