Question

A football coach starts at the 35-yard line (a) and walks to the 15-yard line (b). He turns around and walks to the 40-yard line (c). He turns around again and walks back to the 0-yard line (d). He turns around once more and walks back to the 25-yard line (e), thus completing his 10 minutes of pacing.

Answer 1

To calculate the average velocity for each interval, divide the distance traveled by the time taken. To calculate the average velocity for the entire motion, add up all the distances traveled and divide it by the total time taken.

Step-by-step explanation:

In this question, we are given the distances and times for different intervals of a football quarterback's motion. To calculate the average velocity for each interval, we divide the distance traveled by the time taken for that interval. For the first interval (15.0 m in 2.50 s), the average velocity is 6.0 m/s. For the second interval (-3.00 m in 1.75 s), the average velocity is -1.7 m/s. And for the third interval (21.0 m in 5.20 s), the average velocity is 4.0 m/s.

To calculate the average velocity for the entire motion, we add up all the distances traveled and divide it by the total time taken. In this case, the total distance is 15.0 m + (-3.00 m) + 21.0 m = 33.0 m and the total time is 2.50 s + 1.75 s + 5.20 s = 9.45 s. Therefore, the average velocity for the entire motion is 33.0 m / 9.45 s = 3.49 m/s.

Answer 2

a) A football coach starts at the 35-yard line and walks to the 15-yard line.

So, the first amount of displacement covered is calculated as below.

Displacement = final point-initial point

D1 = 35 - 15 = 20 yards.

b. He turns around and walks to the 40-yard line.

Coach starts from the 15-yard line and walks to the 40-yard line, so his displacement is calculated as below

D2 = 40 - 15 = 25 yards.

3. He turns around again and walks back to the 0-yard line.

Coach starts from the 40-yard line and walks to the 0-yard line, so his displacement is calculated as below

D3 = 40 - 0 = 40 yards.

4. He turns around one more and walks back to the 25-yard line.

Coach starts from the 0-yard line and walks to the 25-yard line, so his displacement is calculated as below

D4 = 0 + 25 = 25 yards.

The total distance walked is

D = D1 + D2 + D3 + D4 = 20 + 25 + 40 + 25 = 110 yards.

Hence average speed of the coach is

Spee = 110[yards]/10[min] = 11 [yards/min].