The dependence of the distance traveled by the body on time is given by the equation: S = 6-3t + 2t2.

The dependence of the distance traveled by the body on time is given by the equation: S = 6-3t + 2t2. For what moment in time is the velocity v of the body equal to zero? What is the acceleration a for this moment in time?

The path traversed by the body during uniformly accelerated motion is calculated by the formula s = u0 * t + at’2 / 2
Based on the equation given in the problem, we find:
u0 = -3
a = 4
We know that the formula for the velocity at a certain moment in time with uniformly accelerated motion is calculated by the formula u = u0 + at
Let’s make the equation:
0 = -3 + 4t
t = 0.75
Acceleration at any moment is the same a = 4