Plss answer fast.. if displacement of a body is given as x=√1+t^2. f

1.	Plss answer fast.. if displacement of a body is given as x=√1+t^2. find acceleration of body.
Answer» Acceleration and displacement are related as a = x² we KNOW, acceleration , a = so, x² = ⇒x²dx = vdv ⇒∫x²dx = ∫vdv at X = 0 , body is in rest ∴ initial velocity , v₀ = 0 Let velocity at x = 2 is v Now, ⇒ [x³/3]²₀ = ⇒8/3 = v²/2 ⇒16/3 = v² So, v = ±4/√3 m/s Hence, MAGNITUDE of velocity = 4/√3 m/s

Plss answer fast.. if displacement of a body is given as x=√1+t^2. find acceleration of body.

Answer»

Acceleration and displacement are related as a = x²

we KNOW, acceleration , a =

so, x² =

⇒x²dx = vdv

⇒∫x²dx = ∫vdv

at X = 0 , body is in rest ∴ initial velocity , v₀ = 0

Let velocity at x = 2 is v

Now,

⇒ [x³/3]²₀ =

⇒8/3 = v²/2

⇒16/3 = v²

So, v = ±4/√3 m/s

Hence, MAGNITUDE of velocity = 4/√3 m/s

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Plss answer fast.. if displacement of a body is given as x=√1+t^2. find acceleration of body.​

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Plss answer fast.. if displacement of a body is given as x=√1+t^2. find acceleration of body.