An item is dropped from a building and its equation is given by s(t)=5t^2
0<(or equal to)t<(or equal to)5.
1.)Draw a graph of this.
2.)Find the height of the building.
The person performing the experiment wishes to calculate the speed at which it hits the ground. He decides he will try Velocity=distance/time.
3.) Calculate the average speed on the item's journey, strictly using v=s/t (even though it is wrong)
He identifies that his formula ism't correct and so attempts to find the speed at each time interval of t=0 and t=1, then t=1 and t=2, and so on up to the between t=4 and t=5
4.) What is the found speed for the intervals.
I think most of this would be done on Graph mode, on a graphics calculator.
The Attempt at a Solution
I got 125m for the height, 25ms-1 for the overall journey, although i can't remember my answers for the next questions. For the time intervals, i entered Y-cal for the height and entered the distance between each time interval and divided it by the second in between-I'm not sure about this.
Thankyou for your help. This is very easy, but it's hard to do something that leads you through doing the task incorrectly. Basically in these investigations you have to follow the instructions, and in this case you have to follow the student doing the wrong formulas, etc. Although as the paper unfolds the student finds the correct formula.