Question

a football player begins running from the 0 - yard line of a football field. his starting position and velocity direction are shown by the yellow dot and arrow below. his coach starts a stopwatch when he begins running. the player runs across the field with a constant velocity of 7\\(\frac{yd}{s}\\) to the right. predict the players position at the times shown in the table. time (s) position to the right (yd) 0 0 2 4 6

Explanation:

Step1: Recall the formula for constant - velocity motion

The formula for position $x$ in constant - velocity motion is $x = v\times t$, where $v$ is the velocity and $t$ is the time. Here, $v = 7\frac{\text{yd}}{\text{s}}$.

Step2: Calculate position at $t = 2\text{ s}$

Substitute $t = 2\text{ s}$ and $v=7\frac{\text{yd}}{\text{s}}$ into the formula $x = v\times t$. So, $x=7\times2 = 14$ yd.

Step3: Calculate position at $t = 4\text{ s}$

Substitute $t = 4\text{ s}$ and $v = 7\frac{\text{yd}}{\text{s}}$ into the formula $x = v\times t$. So, $x=7\times4=28$ yd.

Step4: Calculate position at $t = 6\text{ s}$

Substitute $t = 6\text{ s}$ and $v = 7\frac{\text{yd}}{\text{s}}$ into the formula $x = v\times t$. So, $x=7\times6 = 42$ yd.

Answer:

Time (s)	Position to the right (yd)
2	14
4	28
6	42