Answer:
a. 4m
b. 3.5m
c. t = 10.5s and t = 25s
d. -0.16m/s
e. 0.44 m/s
f. -0.75 m/s
g. -0.75 m/s
h. From t = 0 to t = 5s
i. 0.75 m/s
Step-by-step explanation:
The bird is initially at 4 m of the flower east, then it changes its relative position to -3.5 m, which means that it is 3.5 m of the flower west. Finally, after 25 s, it ends at 0m of the flower.
Part (a)
So, the greatest distance away from the flower is 4m
Part (b)
The most western position is at the lowest point of the graph, so it is at 3.5 m west.
Part (c)
The bird is in the flower when its relative position is 0 m, so it is in the flower at t = 10.5 and t = 25
Part (d)
The bird's average velocity is calculated as
It means that the bird changes its relative position 4 m in 25 seconds.
Part (e)
The bird's average speed is
Because the total distance travel was 4m + 3.5m = 7.5m from the position +4 to -3.5 added to the 3.5m from position -3.5 to 0.
Part (f) and (g)
The velocity of the bird at t = 10s and t = 5.5s is the slope of the graph.
So, using the points (x1, y1) = (5, 4) and (x2, y2) = (15, -3.5), we get that the slope is
Therefore, the velocity at t = 10s and at t = 5.5s is -0.75 m/s
Part (h)
the velocity is 0 m/s when the graph is an horizontal line, so the velocity is 0 m/s from t = 0 to t = 5 s.
Part (i)
The bird's maximum speed is the slope of the steepest line. In this case, the steppest line is from t = 5 to t = 15, so the maximum speed is 0.75 m/s