Question

A football player runs from his own goal line to the opposing team's goal line, returning to his thirty-yard line, all in 25.5 s. Calculate his average speed and the magnitude of his average velocity. (Enter your answers in yards/s.)HINTApply the definitions of average speed and average velocity.Click the hint button again to remove this hint.(a) Calculate his average speed._____ yards/s(b) Calculate the magnitude of his average velocity._____ yards/s

Answer 1

The average speed is 6.67 yards/s

The average velocity is 1.18 yards/s

Explanation:

Given:

We assume the full field is 100 yards

Total distance traveled = full field + full field - 30 yards = 100 + 100 - 30 = 170 yards

Total displacment = 30 yards

Time taken = 25.5 s

For the calculation of the speed, the total distance traveled is taken into account, while in the velocity, the total displacement is taken into account.

Therefore, we calculate in each case, like this:

`\begin{gathered} \Delta speed=\frac{\text{ Total distance traveled}}{\text{ Time taken}}=(170)/(25.5)=6.67\text{ yards/s} \\ \\ \Delta velocity=\frac{\text{ Total displacment }}{\text{ Time taken }}=(30)/(25.5)=1.18\text{ yards/s} \end{gathered}`