Question

The displacement of a particle moving along
x-axis changes with time as 2rootx = 3t, then the
velocity of the particle is directly proportional to​

Answer 1

Hey Saurabh,

◆ Answer -

v ∝ t

● Explaination -

Here, displacement of the particle is given by -

2√x = 3t

Squaring both sidez -

4x = 9t²

x = 4/9 t²

Differentiate both sides w.r.t. t -

dx/dt = 4/9 × 2 × t

v = 8/9 t

v ∝ t

Therefore, velocity of particle at any given instant is directly proportional to time.

* d(x^n)/dx = nx^(n-1)

Thanks dear.

Answer 2

Answer:

Hey Saurabh,

◆ Answer -

v ∝ t

Therefore, velocity of particle at any given instant is directly proportional to time.

* d(x^n)/dx = nx^(n-1)

Thanks dear.

● Explaination -

Here, displacement of the particle is given by -

2√x = 3t

Squaring both sidez -

4x = 9t²

x = 4/9 t²

Differentiate both sides w.r.t. t -

dx/dt = 4/9 × 2 × t

v = 8/9 t

v ∝ t

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Explanation: