sasha is swimming laps at the community pool. she starts in her lane at one end of the pool and swims back…
sasha is swimming laps at the community pool. she starts in her lane at one end of the pool and swims back and forth several times at a steady rate. which graph could show sashas distance from her starting position over time?
Answer
Explanation:
Step1: Analyze the starting point
Sasha starts at one end of the pool. So, at time (t = 0), the distance from the start (her starting position) should be (0).
Step2: Check the direction of movement
When she swims away from the start, the distance from the start increases. When she swims back, the distance from the start decreases.
Looking at the first graph (top - left): The (y) - axis is time (not distance), so it is incorrect. Looking at the second graph (top - right): The (y) - axis is time (not distance), so it is incorrect. Looking at the third graph (bottom - left): At (t = 0), (y=0) (correct starting point). As time increases, the distance from the start first increases (swimming away) and then decreases (swimming back), which is consistent with the motion. Looking at the fourth graph (bottom - right): At (t = 0), (y\neq0) (incorrect starting point).
Answer:
The third graph (bottom - left)