Question

The displacement (in metre) of a particle moving along x axis given by X=20t + 10t² . calculate the instantaneous velocity at t = 2s.

Answer 1

Answer:

Given:

Instantaneous displacement function is as follows :

x = 20t - 10t²

To find:

Instantaneous velocity at t = 2 seconds.

Concept:

Instantaneous velocity function is given as the derivative of the displacement function wrt to time.

$\tt{v = \frac{dx}{dt} }$

$\tt{x = 20t - 10 t²}$

$\tt{ \frac{dx}{dt} = 20 ( \frac{dt}{dt} ) - 10 { \frac{d(t²)}{dt} }}$

$\tt{v = 20 - 20t}$

Now putting t = 2 seconds

$\tt{v = 20 - (20 × 2)}$

$\tt{v = 20 - 40}$

$\tt{v = -20 m/s}$

So the Velocity is -20 m/s.

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Answer 2

Explanation:

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