Salazar Mitchell
06/26/2023 · Senior High School
Question 11 (Mandatory) (1 point) A rocket has an acceleration of \( 50 \mathrm{~m} / \mathrm{s} / \mathrm{s} \). How long does it take the rocket to reach a speed of \( 1000 \mathrm{~m} / \mathrm{s} \) ? 0.05 seconds 20 seconds 50 seconds 50000 seconds
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Step-by-step Solution
To find the time it takes for the rocket to reach a speed of \( 1000 \, \text{m/s} \) with an acceleration of \( 50 \, \text{m/s}^2 \), we can use the formula:
\[
v = a \cdot t
\]
where:
- \( v \) is the final velocity (in this case, \( 1000 \, \text{m/s} \)),
- \( a \) is the acceleration (in this case, \( 50 \, \text{m/s}^2 \)),
- \( t \) is the time (which we want to find).
Rearranging the formula to solve for \( t \):
\[
t = \frac{v}{a}
\]
Substituting the values:
\[
t = \frac{1000 \, \text{m/s}}{50 \, \text{m/s}^2} = 20 \, \text{s}
\]
Therefore, it takes the rocket **20 seconds** to reach a speed of \( 1000 \, \text{m/s} \).
The correct answer is **20 seconds**.
Quick Answer
The rocket takes 20 seconds to reach 1000 m/s.
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