Question

A particle is moving with a motion defined by x = 6 + 2t m, what is the equation for the acceleration? A. a = 0 B. a = 360 m/s2 C. a = 3t5/10 + t/3 m/s2 D. a = 18t2 +2 m/s E. None of the above.

Answer 1

Answer.

Given .

Motion of the particle is given by

x =6t³ +2t m

Where x is distance and T is time.

If v is the velocity of the particle and a is the acceleration of the particle then

velocity is defined as rate of change of distance with respect to time.

i.e. v =dx / dt

or v = (d/dx) (6t³ +2t )

Or velocity of the particle is given by

v = 18t^{2 ₊} ​​​​​​​​2 m/s

Acceleration of the particle is defined as rate of change of velocity.

I.e. a =dv/dt = (d/dt) ( 18^{_{​​​​​}}t² + 2)

or a = 36t m/s²

B.