A particle moves along a straight line. Its position at any instant is given by x = 32t− 38t^3/3 where x is in metre and t in second. Find the acceleration of the particle at the instant when particle is at rest.

The acceleration of the object is -69.78 m/s²

Explanation:

Given;

postion of the particle:

The velocity of the particle is calculated as the change in the position of the  particle with time;

Acceleration is the change in velocity with time;

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)