Math Problem Statement
If a vessel starts from rest and accelerates at a rate of 1.8 m/s2 for 60 seconds, calculate the speed of the vessel after the 60 seconds.
Solution
To calculate the speed of the vessel after 60 seconds, we can use the formula:
Where:
- is the final speed (which we need to find),
- is the initial speed (since the vessel starts from rest, ),
- is the acceleration (),
- is the time (60 seconds).
Substituting the values into the formula:
So, the speed of the vessel after 60 seconds is .
Would you like more details or have any questions? Here are 5 related questions for further exploration:
- What is the distance traveled by the vessel during this time?
- How would the speed change if the acceleration was doubled?
- What would be the speed after 120 seconds at the same acceleration?
- How does acceleration relate to velocity in uniformly accelerated motion?
- What is the significance of "starting from rest" in this problem?
Tip: Always check if an object starts from rest, as it simplifies calculations by making the initial velocity zero.
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Math Problem Analysis
Mathematical Concepts
Kinematics
Uniform Acceleration
Linear Motion
Formulas
v = u + at
Theorems
First Equation of Motion
Suitable Grade Level
Grades 9-11
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