Question

in order to estimate the length of the runway, a passenger on an airplane jotted down some velocity data during takeoff from the on - board entertainment screen. from the resulting table given below, calculate (\frac{o_{8}+u_{8}}{2}) to find his estimate. round any intermediate calculations, if needed, to no less than six decimal places, and round your final answer to three decimal places.

time (s)	6	12	18	24	30	36	42	48

Explanation:

Step1: Identify $O_8$ and $U_8$

$O_8$ is the first velocity value: $32$, $U_8$ is the last velocity value: $230$

Step2: Sum the two values

$32 + 230 = 262$

Step3: Divide sum by 2

$\frac{262}{2} = 131$

Step4: Apply time interval

The time interval $\Delta t = 6$ seconds. Convert to hours: $\Delta t = \frac{6}{3600} = \frac{1}{600}$ hours. Multiply by the average velocity:
$131 \times \frac{1}{600} = \frac{131}{600} \approx 0.218333$

Answer:

0.218