A car accelerates from 25 km/h to 110 km/h in 84 seconds. What is the distance traveled during this acceleration?

To find the distance traveled during the acceleration, we first need to determine the average speed of the car during the acceleration period. The formula for average speed when the initial and final speeds are known is given by:

Average Speed = (Initial Speed + Final Speed) / 2.

In this case, the initial speed is 25 km/h, and the final speed is 110 km/h. Thus, the average speed can be calculated as:

Average Speed = (25 km/h + 110 km/h) / 2

= (135 km/h) / 2

= 67.5 km/h.

Next, we need to convert this average speed from kilometers per hour to meters per second to match the time given in seconds. The conversion factor is:

1 km/h = (1,000 meters)/(3,600 seconds).

So, to convert 67.5 km/h to m/s:

Average Speed = 67.5 km/h × (1,000 m / 3,600 s)

= 67.5 × (10 / 36)

= 18.75 m/s.

Now, knowing the average speed and the time taken for the acceleration (84 seconds), we can