suppose that Andrew is running down the field at 8 yards per second and then cuts right running 6 yards per second. He executes this maneuver in 0.5 seconds. Calculate his acceleration

see other post.

To calculate acceleration, we need to determine the change in velocity and the time taken for that change. In this scenario, Andrew first moves at a speed of 8 yards per second and then changes his velocity to 6 yards per second in 0.5 seconds.

To find the change in velocity, we subtract the initial velocity from the final velocity:
Change in velocity = Final velocity - Initial velocity

Change in velocity = 6 yards per second - 8 yards per second
Change in velocity = -2 yards per second

Here, the negative sign indicates a decrease in velocity.

Next, we divide the change in velocity by the time taken:
Acceleration = Change in velocity / Time

Acceleration = -2 yards per second / 0.5 seconds
Acceleration = -4 yards per second squared

Therefore, Andrew's acceleration is -4 yards per second squared. The negative sign implies deceleration or slowing down.