Motion of watermelon#

The position of a watermelon is given by \(x(t) =\) 4\(t^2 - \)6\(t - \)3 where \(x\) is in meters and \(t\) is in seconds.

Part 1#

What is the velocity 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

Answer Section#

Part 2#

At what time, if ever, is the watermelon at rest? (Enter -1 if the watermelon is never at rest)

Answer Section#

Please enter in a numeric value in \(s\).

Part 3#

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

Answer Section#

Please enter in a numeric value in \({m/s}^2\).

Part 4#

Is the speed of the watermelon increasing or decreasing at \(t=0\) \(s\)?

Answer Section#

  • The speed is increasing

  • The speed is decreasing

  • There is not enough information to tell

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.