# Acceleration of a Particle#

The position of a particle in $$m$$ is given by the function $$x =$$7$$t^3$$ - 9$$t^2$$ - 29, where $$t$$ is in $$s$$.

As you solve the questions below, you will be asked to find several times ($$t_1$$, $$t_2$$, $$t_3$$, etc…) based on certain conditions.

## Part 1#

At what time is $$v_x = 0$$ $$m/s$$? Enter $$t_1$$, the smallest of the values (if there is more than one).

Please enter in a numeric value in $$s$$.

## Part 2#

At what time after $$t_1$$ is $$v_x = 0$$ $$m/s$$ again? Enter $$t_2$$, the next value.

Please enter in a numeric value in $$s$$.

## Part 3#

What is the particle’s acceleration at the time $$t_1$$? Enter $$a\_{x,1}$$, the acceleration corresponding to $$t_1$$.

Please enter in a numeric value in $$m/s^2$$.

## Part 4#

What is the particle’s acceleration at the time $$t_2$$? Enter $$a\_{x,2}$$, the acceleration corresponding to $$t_2$$.

Please enter in a numeric value in $$m/s^2$$.