Motion of watermelon#

The position $$x$$ of a watermelon as a function of time $$t$$ is given by $$x(t) = {{ params.signa }}{{ params.a }}t^2 {{ params.signb }}{{ params.b}}t {{params.signc }}{{ params.c }}$$ where $$x$$ is in $$m$$ and $$t$$ is in $$s$$.

Part 1#

What is the velocity $$v$$ of the watermelon as a function of time?

Hint: Assume that the units are $$m \over s$$. There is no need to include them in your equation.

Use the following table as a reference.

For

Use

$$t$$

t

Part 2#

At what time $$t_0$$ is the watermelon at rest? (Negative valuse of $$t$$ are not considered physically meaningful and will not be accepted as an answer. Enter -1 if the watermelon is never at rest.)

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

Part 3#

What is the acceleration $$a$$ of the watermelon as a function of time?

Hint: Assume that the units are $$m \over s^2$$. There is no need to include them in your equation.

Use the following table as a reference.

For

Use

$$t$$

t

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

Part 4#

Is the speed of the watermelon increasing or decreasing at $$t = 0$$ $$s$$?