The position of a particle moving along the x-axis is given by s(t)=5t2+3. use difference quotients to find the velocity v(t) and acceleration a(t)."
since chegg does not have a solution for this problem, i'd like to check my answers. i got v(t) = 10t and a(t) = 10.

Step-by-step explanation:

The velocity is the derivative of the position.

The acceleration is the derivative of the velocity.

In this problem, we have that:

Looking at the derivative table, the derivative of is and the derivative of a constant is 0.

So:

Your answers are correct.

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)