Abicyclist is finishing his repair of a flat tire when a friend rides by with a constant speed of 3.1 m/s . two seconds later the bicyclist hops on his bike and accelerates at 2.4 m/s^2 until he catches his friend. how much time does it take until he catches his friend (after his friend passes him)?

The time it took them to meet is 3,9 seconds.

Explanation:

To solve this we have one incognita for both, which is the time that it took them to travel the same distance, the formula for the cycist that was traveling at constant speed is:

Distance=Speed*Time + 6,2 m

We add the 6.2 meters that the friend already covered in those two seconds.

And the formula for the cyclists that starts from rest would be:

Distance=1/2Acceleration*time^2

Since we want to find the point where the distance of both was the same we equalize the equations to eachother:

Speed*time + 6,2=1/2 Acc*time^2

3,1t+6,2 =1,2t^2

1,2t^2- 3.1t- 6,2=0

With this we have a quadratic equation that we solve with the general formula, see the image.

We get two results, remember that theres is no negative time so the answer would be the positive result.

Witht that we know that the time it took them to meet is 3,9 seconds.

cell differentiation  is how generic embryonic  cells  become specialized  cells. this occurs  through a process called gene expression. gene expression is the specific combination of genes that are turned on or off (expressed or repressed), and this is what dictates how a  cell  functions.

explanation:

the word that best describes martin luther king jr.'s tone in the video is dignified

martin luther king, jr. was a social activist and baptist minister who played a key role in the american civil rights movement from the mid-1950s until his assassination in 1968. the video shows his manner and attitude having or showing a composed or serious manner that is worthy of respect so dignified is the correct answer