# Velocity and Acceleration of an Object#

If the velocity of an object in one-dimensional motion is given by $$v(t) =$$ $$-5t^3 - 7t^2 - 4t$$, where the units of $$v$$ are in $$m/s$$ and of $$t$$ are in seconds,

## Part 1#

The velocity and acceleration of the object at $$t =$$ 18.3 $$s$$ are:

• $$v =$$ -33100.0 $$m/s$$, $$a =$$ -5280.0 $$m/s^2$$

• $$v =$$ -33100.0 $$m/s$$, $$a =$$ 0 $$m/s^2$$

• $$v =$$ -33100.0 $$m/s$$, $$a =$$ 9.81 $$m/s^2$$

• $$v =$$ 18.3 $$m/s$$, $$a =$$ -2640.0 $$m/s^2$$

• $$v =$$ -33100.0 $$m/s$$, $$a =$$ 5280.0 $$m/s^2$$

• $$v =$$ -33100.0 $$m/s$$, $$a =$$ -10600.0 $$m/s^2$$