Question

when penguins swim, they occasionally jump up out of the water. this behavior, called porpoising, helps them swim faster because they can take breaths without slowing down. a wildlife biologist takes a video of a penguin swimming and porpoising. then, she uses the video to make the graph of the penguins distance vs. time shown below: graph of distance (m) vs. time (s) with points at (0,0), (10,25), (20,50), (30,75), (40,100) what is the penguins average speed during the 40 s shown on the graph? choose 1 answer: a) 0.4 m/s b) 2.5 m/s c) 20 m/s d) 50 m/s

Explanation:

Step1: Recall average speed formula

Average speed is calculated by the formula \( v = \frac{d}{t} \), where \( d \) is the total distance and \( t \) is the total time.

Step2: Identify distance and time

From the graph, the total distance \( d = 100 \, \text{m} \) and the total time \( t = 40 \, \text{s} \).

Step3: Calculate average speed

Substitute the values into the formula: \( v = \frac{100}{40} = 2.5 \, \frac{\text{m}}{\text{s}} \).

Answer:

B. \( 2.5 \frac{\text{m}}{\text{s}} \)