## Group Project## Estimating the Instantaneous Speed of a Moving Object
## The Assignment## ProblemA ball is rolling down an inclined plane. The distance it rolls is given by the formula s=5t^{3},
where s represents the distance it has rolled t seconds after it
starts rolling. Your task is to estimate how fast it is moving
2 seconds after it starts rolling.
## BackgroundYou can use the given formula to find the average speed over a time interval. For example, you can find that s=5*2^{3}=40 when t=2, so it rolls 40 feet in
the first 2 seconds and thus has moved at an average speed of
40/2=20 feet per second during that time interval.
Similarly, since s=5(3
Your problem, however, is not to calculate an ## Ground RulesThe class will break up into two groups of three or four students. The groups will have thirty (30) minutes during class to analyze the question. Each group will then briefly share its analysis with the rest of the class. Comment from the rest of the class is appropriate during these presentations. |