an object is traveling in a straight line. shown in the diagram is the graph of its speed as a function of…
an object is traveling in a straight line. shown in the diagram is the graph of its speed as a function of time. units of x - axis are seconds and units of y - axis are meters per second. estimate the total distance the object traveled between t = 0 and t = 6: m
Answer
Explanation:
Step1: Recall distance - speed relation
The distance traveled by an object moving in a straight - line is given by the area under the speed - time graph.
Step2: Approximate the area
We can approximate the area under the curve from (t = 0) to (t=6) by counting the number of squares under the curve. Assume each square has an area of (1\times1 = 1) square unit (since the (x) - axis has units of seconds and the (y) - axis has units of meters per second, the area of a square represents distance in meters). We can use the method of counting full and partial squares. Let's count the full squares first and then estimate the partial squares. Counting the full squares and estimating the partial squares, we find that there are approximately 10 squares under the curve from (t = 0) to (t = 6).
Answer:
10