Question

A particle is moving along x-axis . The position of the particle at any instant is given by x = 5 +6t², where x is in meters, t is in second. The velocity of the particle at t = 2s is 
​

Answer 1

Given:-

A particle is moving along X axis .

• The position of the particle at any instant is given by X =5 + 6t ² where X is in meters , t in seconds.

• Velocity = dx / dt

= d ( 5 + 6t ) / dt

= d(5) / dt + d(6t) / dt

= 0 + 6 = 6 m/s

• We know  velocity is constant at any instant of time as it is independent of time

• Therefore, velocity at t = 2s is 6 m/s

_________________________________________

Answer 2

Answer:

24 m/s

Explanation:

given x = 5+6t^2 -----(1)

t = 2 (time)

on differentiating (1)

X = 12t {d/dx (x^2) = 2x and differentiating a constant u will get 0}

now applying t = 2 in X = 12t

so the velocity = 12*2 =24m/s