Question

The position x (metres) of a particle moving along a straight line at time t (second) is given by x = 5t. Find its
velocity​

Answer 1

Given:

The position x (metres) of a particle moving along a straight line at time t (second) is given by x = 5t.

To find:

Velocity at time t .

Calculation:

Velocity function can be easily calculated by first order differentiation of the displacement function with respect to time.

$\therefore\:x = 5t$

$= > v = \dfrac{dx}{dt}$

$= > v = \dfrac{d(5t)}{dt}$

$= > v = 5 \times \dfrac{d(t)}{dt}$

$= > v = 5 \times 1$

$= > v = 5 \: m {s}^{ - 1}$

So, the velocity of the body at any moment is 5 m/s , it is constant and the body performs uniform motion.

Graph:

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