Sorry for rewording it wrong.

After 35 minutes of jogging, at the 9-km point in a total 10-km race, jogger A is behind the leader and moving at the same speed. What would have to be Jogger A's accelearation in order to catch up to the finish line? Assuming the leader maintains a constant speed the rest of the race.

Is the answer 3.7

I answered down below. You need to know how far behind but I showed you how to do it.

Hmmm, I see that this is the third time you have posted this without the whole problem and drwls told you you needed the distance behind the first time you posted it. You can not figure out how fast you have to go to catch up if you do not know how far behind you are.

George, there is not enough information here. We keep telling you that, and twice have shown you how to work it given that missing information. It seems to me that you are looking for us to post some answer you can put into an answer block. In that, you are wasting your time.

3.7 what? In physics, values without dimensions are useless, unless you are counting things like sheep.

To find out the acceleration required for Jogger A to catch up to the finish line, we need to consider the initial conditions and the concept of relative motion.

Given:
- After 35 minutes (or 0.58 hours) of jogging, Jogger A is at the 9-km point in a total 10-km race.
- Jogger A is currently behind the leader, who is moving at a constant speed.

Now, let's break down the problem step-by-step:

Step 1: Calculate the distance that Jogger A needs to cover to catch up to the leader.
Since Jogger A is at the 9-km mark and the total race distance is 10 km, Jogger A needs to cover the remaining 1 km.

Step 2: Calculate the time Jogger A has left to cover the remaining 1 km.
Since Jogger A has been jogging for 35 minutes, or 0.58 hours, this means Jogger A has 1 - 0.58 = 0.42 hours left to finish the race.

Step 3: Calculate the speed required for Jogger A to cover 1 km in the remaining time.
Speed = Distance / Time
Therefore, the required speed for Jogger A is 1 km / 0.42 hours = 2.38 km/h.

Step 4: Calculate the acceleration required for Jogger A to reach the required speed.
Acceleration = (Final Speed - Initial Speed) / Time Taken
Since Jogger A is currently moving at the same speed as the leader (who is assumed to be maintaining a constant speed), the initial speed is the same as the required speed, which is 2.38 km/h.
Time Taken = 0.58 hours.
Acceleration = (2.38 km/h - 0 km/h) / 0.58 hours = 4.10 km/h^2.

Hence, the required acceleration for Jogger A to catch up to the finish line is approximately 4.10 km/h^2. It appears that your answer of 3.7 is slightly incorrect.