Final answer:
To calculate the quarterback's average velocity for each interval, divide the displacement by the time for that interval. For the entire motion, add up the displacements, account for the direction, and divide by the total time. The average velocity for the entire motion is the total displacement divided by the total time, giving 3.49 m/s in the forward direction.
Step-by-step explanation:
To calculate the average velocity of the quarterback for each interval and for the entire motion, we use the formula for average velocity, which is the total displacement divided by the total time taken.
- For the first interval:
- Average velocity = 15.0 m / 2.50 s = 6.0 m/s in the forward direction.
- For the second interval:
- Average velocity = -3.00 m / 1.75 s = -1.71 m/s (The negative sign indicates the direction is backward).
- For the third interval:
- Average velocity = 21.0 m / 5.20 s = 4.04 m/s in the forward direction.
- For the entire motion:
- Total displacement = First interval + Second interval + Third interval = 15.0 m - 3.00 m + 21.0 m = 33.0 m
- Total time = 2.50 s + 1.75 s + 5.20 s = 9.45 s
- Average velocity for the entire motion = Total displacement / Total time = 33.0 m / 9.45 s = 3.49 m/s in the forward direction.