Question

pl tell me the ans .........​

Answer 1

Answer:

zero is correct answer but I gave explanation on image see that

Answer 2

QUESTION:

The relation 3t = √(3x) + 6 describes the displacement of a particle in one direction where x is in meters and t in seconds. The displacement when velocity is zero is ________

ANSWER:

The displacement when velocity is zero is zero(x = 0).

GIVEN:

3t = √(3x) + 6

v = 0

TO FIND:

Displacement = ?

FORMULAE:

dx / dt = v ,where x is the displacement and v is the velocity

dt /dt = 1

d/dt (t²) = 2t

d/dt (K) = 0 (K is any constant)

(A + B)² = A² - 2AB + B²

EXPLANATION:

3t = √(3x) + 6

√(3x) = 3t - 6

SQUARING ON BOTH SIDES, WE WILL GET

3x = (3t)² - 2(3t)(6) + 6²

3x = 9t² - 36t + 36

DIFFERENTIATE WITH RESPECT TO t

3(dx/dt) = 9 × d/dt(t²) - 36 (dt/dt) + d/dt (36)

3v = 9(2t) - 36(1) + 36(0)

3v = 18t - 36 +0

SUBSTITUTE v = 0

18t - 36 = 0

18 = 36

t = 2

SUBSTITUTE t = 2 in 3x = 9t² - 36t + 36

3x = 9(4) - 36(2) + 36

3x = 36 - 72 +36

3x = 72 - 72

3x = 0

x = 0

HENCE THE DISPLACEMENT IS ZERO.