Question

1. directions select the correct answer. based on the motion graph, during which section of karas trip was she traveling the fastest? select the correct point on the motion graph. karas saturday bike trip

Explanation:

Step1: Calculate the speed for each section

Speed \(v=\frac{\Delta d}{\Delta t}\).
For the first section (\(t = 0 - 1\) hour, \(d=0 - 5\) km): \(v_1=\frac{5 - 0}{1-0}=5\) km/h.
For the second section (\(t = 1 - 2\) hour, \(d = 5-5\) km): \(v_2=\frac{5 - 5}{2 - 1}=0\) km/h.
For the third section (\(t=2 - 3\) hour, \(d = 5-5\) km): \(v_3=\frac{5 - 5}{3 - 2}=0\) km/h.
For the fourth section (\(t = 3 - 4\) hour, \(d=10 - 5\) km): \(v_4=\frac{10 - 5}{4 - 3}=5\) km/h.
For the fifth section (\(t=4 - 5\) hour, \(d=15 - 10\) km): \(v_5=\frac{15 - 10}{5 - 4}=5\) km/h.

Answer:

The first, fourth and fifth sections (where the speed is \(5\) km/h, and it is the highest non - zero speed among the calculated sections).