Taylor is swimming in a race with only one lap (50m) to go. The first place swimmer is 16m ahead of her. Taylor’s speed is 1.1m/s, and she begins to accelerate at 0.4m/s2 up to a top speed of 2m/s. Once she reaches top speed, she swims at a constant 2m/s for the rest of the race. The first place swimmer is swimming at a constant 1.2m/s.  Please include a diagram. a) Will Taylor pass first place before the race is over? By how much time did she win/lose? b) How many meters separated first and second place?

icon
Related questions
Question

Taylor is swimming in a race with only one lap (50m) to go. The first place swimmer is 16m ahead of her.
Taylor’s speed is 1.1m/s, and she begins to accelerate at 0.4m/s2 up to a top speed of 2m/s. Once she reaches top speed, she swims at a constant 2m/s for the rest of the race.
The first place swimmer is swimming at a constant 1.2m/s. 

Please include a diagram.

a) Will Taylor pass first place before the race is over? By how much time did she win/lose?

b) How many meters separated first and second place?

Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer