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 |
Answer Section#
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.)
Answer Section#
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 |
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.
