Acyclist sprints at the end of a race to clinch a victory. she has an initial velocity of 11.5 m/s and accelerates at a rate of 0.500 m/sâ² for 7.00 s. (a) what is her final velocity? (b) the cyclist continues at this velocity to the finish line. if she is 300 m from the finish line when she starts to accelerate, how much time did she save? (c) the second-place winner was 5.00 m ahead when the winner started to accelerate, but he was unable to accelerate, and traveled at 11.8 m/s until the finish line. what was the difference in finish time in seconds between the winner and runner-up? how far back was the runner-up when the winner crossed the finish line?

a)

b)

c)

Explanation:

For this case we have the following data given:

represent the initial velocity

the time when we have acceleration

the acceleration

represent the distance

the velocity for the second place winner

represent the total distance

Part a

For this case we can use the following equation:

And if we replace we got:

Part b

For this case first let's calculate the time taken to end the race with the initial velocity provided , and if we replace we got:

Now we can find the distance covered whn she accelerates

Now we can calculate the distance for the final velocity:

And the time to complet this distance is:

And the total time would be then:

And we can calculate the tame saved taking the difference from the total tim and

Part c

For this case we have the velocity for the second player;

The total distanc for this case woudl be 300--5 = 295 m we can calculate the time to travel this distance at 11.8 m/s like this:

And if we find the difference between this time and the we got:

And the distance would be:

answer; (d) spontaneous processes are characterized by the overall conversion of order to disorder;

the skeletons of most mammals reach a certain size and then stop growing. however, many animals, including some mammals, keep growing throughout their lives. kangaroos, for example, just keep growing and growing until they die. also, the longer an animal lives the greater the chance it might catch some deadly disease.