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27 votes
27 votes
a spaceship is traveling at a constant speed of 20,000 meters per second or rocket thrusters are turned on and within 55 seconds the ship reaches a velocity of 24,000 m/s find it acceleration

User Keith Grout
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1 Answer

10 votes
10 votes

Average acceleration is defined as the rate of change of velocity, or the change in velocity per unit time. Its units are distance over time squared, is represented by the following formula:


\begin{gathered} a=(v-u)/(t) \\ \text{where,} \\ v=final\text{ velocity} \\ u=\text{initial velocity} \\ t=\text{time} \end{gathered}

Then, since by the given information we can substitute and solve for the acceleration:


\begin{gathered} a=(24,000-20,000)/(55) \\ a=(4,000)/(55) \\ a=72.7\text{ }(m)/(s^2) \end{gathered}

User Byron Jones
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