Question

(1) use the diagram below to determine the average speed and velocity of the unicorn as she runs from point a to point b to point c and then to point d in 3 minutes.

Explanation:

Step1: Calculate total distance

Total distance $d$ is the sum of the lengths of each segment. So $d=150 + 200+50=400$ m.

Step2: Convert time to seconds

The time $t = 3$ minutes. Since 1 minute = 60 seconds, $t=3\times60 = 180$ s.

Step3: Calculate average speed

Average speed $v_{s}=\frac{d}{t}$. Substituting the values, $v_{s}=\frac{400}{180}=\frac{20}{9}\approx2.22$ m/s.

Step4: Calculate displacement

Displacement is the straight - line distance from the starting point to the ending point. Starting from A and ending at D, the displacement $x = 150$ m.

Step5: Calculate average velocity

Average velocity $v_{v}=\frac{x}{t}$. Substituting values, $v_{v}=\frac{150}{180}=\frac{5}{6}\approx0.83$ m/s.

Answer:

Average speed: $\frac{20}{9}\approx2.22$ m/s; Average velocity: $\frac{5}{6}\approx0.83$ m/s