Final answer:
To find the total distance traveled in the first 3 seconds and the average speed between 6 and 8 seconds, we need information about the object's velocity or acceleration. Once we have that, we can apply kinematic equations to calculate the distance and divide the total distance by the time interval for average speed.
Step-by-step explanation:
Determining Distance and Average Speed
The total distance traveled by an object in the first 3 seconds of motion can be calculated if the object's velocity or acceleration is known. Without specific data on the object's motion during those 3 seconds, a general answer cannot be provided. However, with information such as initial velocity, constant acceleration, or a velocity-time graph, one could utilize kinematic equations or areas under the graph to calculate distance.
The average speed during a specific interval, say between t=6 seconds and t=8 seconds, can be found by dividing the total distance traveled by the object during that interval by the time elapsed (Δt=2s in this case). Again, without any specific values regarding the motion in that interval, we would need more details to perform the calculation.
For example, if a student is given that an object accelerates uniformly from rest and the total distance covered in the first 3 seconds is 27 meters, then the distance can be calculated using the equation s = ut + ½at2, where s is the distance, u is the initial velocity (zero if from rest), a is the acceleration, and t is the time. The average speed would simply be the total distance divided by the total time.