On December 21, 1968, NASA launched Apollo 8. This was the first manned mission tothe moon, and after 68 hours, went into orbit around the moon but never landed on thesurface. That was reserved for Apollo 11. During one five-minute portion of the launch,Apollo 8 increased its speed from 7,600 to 10,800 meters per second. What was theacceleration of Apollo 8 during this time period?a. 8.92 𝑚𝑠2 b. 53.3 𝑚𝑠2 c. 64.0 𝑚𝑠2 d. 10.7 𝑚𝑠2 e. 18.7 𝑚𝑠2
Question
On December 21, 1968, NASA launched Apollo 8. This was the first manned mission tothe moon, and after 68 hours, went into orbit around the moon but never landed on thesurface. That was reserved for Apollo 11. During one five-minute portion of the launch,Apollo 8 increased its speed from 7,600 to 10,800 meters per second. What was theacceleration of Apollo 8 during this time period?a. 8.92 𝑚𝑠2 b. 53.3 𝑚𝑠2 c. 64.0 𝑚𝑠2 d. 10.7 𝑚𝑠2 e. 18.7 𝑚𝑠2
Solution
To solve this problem, we need to use the formula for acceleration, which is change in velocity divided by change in time.
First, we need to find the change in velocity. The final velocity is 10,800 m/s and the initial velocity is 7,600 m/s. So, the change in velocity is 10,800 m/s - 7,600 m/s = 3,200 m/s.
Next, we need to convert the time from minutes to seconds because the unit of acceleration is meters per second squared (m/s^2). There are 60 seconds in a minute, so 5 minutes is 5 * 60 = 300 seconds.
Finally, we can find the acceleration by dividing the change in velocity by the change in time. So, the acceleration is 3,200 m/s / 300 s = 10.7 m/s^2.
Therefore, the acceleration of Apollo 8 during this time period was 10.7 m/s^2. So, the answer is d. 10.7 𝑚𝑠2.
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