To solve this problem, we can use the equations:
velocity = distance / time
speed = total distance / total time
a. To determine Jasmine's average velocity in the first half of the swim, we need to find the distance she covered and the time it took her. Since she swam the length of the pool and back, the distance she covered in the first half of the swim is half of the pool length, or 43.7/2 = 21.85 meters. The time it took her to swim this distance is given as 24.8 seconds. Thus, her average velocity in the first half of the swim is:
velocity = distance / time
velocity = 21.85 / 24.8
velocity = 0.88 m/s
Therefore, Jasmine's average velocity in the first half of the swim is 0.88 m/s.
b. To determine the value of Jasmine's average velocity for the entire round trip, we need to find the total distance she covered and the total time it took her. Since she swam the length of the pool and back, the total distance she covered is twice the pool length, or 2 x 43.7 = 87.4 meters. The total time it took her to swim this distance is the sum of the time for the first half and the time for the return trip, or 24.8 + 26.5 = 51.3 seconds. Thus, her average velocity for the entire round trip is:
velocity = distance / time
velocity = 87.4 / 51.3
velocity = 1.70 m/s
Therefore, Jasmine's average velocity for the entire round trip is 1.70 m/s.
c. To determine the value of Jasmine's average speed for the entire round trip, we need to find the total distance she covered and the total time it took her. Since she swam the length of the pool and back, the total distance she covered is twice the pool length, or 2 x 43.7 = 87.4 meters. The total time it took her to swim this distance is the sum of the time for the first half and the time for the return trip, or 24.8 + 26.5 = 51.3 seconds. Thus, her average speed for the entire round trip is:
speed = total distance / total time
speed = 87.4 / 51.3
speed = 1.70 m/s
Therefore, Jasmine's average speed for the entire round trip is 1.70 m/s.