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What is the final speed of an aircraft that accelerates at 3 m/s² over a distance of 200 m if it starts at a speed of 20 m/s?

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Final answer:

To calculate the final speed of an aircraft that accelerates at 3 m/s² for a distance of 200 m, with an initial speed of 20 m/s, the kinematic equation v² = u² + 2as should be used, substituting the given values into it to solve for the final speed.

Step-by-step explanation:

To find the final speed of an aircraft that accelerates at 3 m/s² over a distance of 200 m, starting at a speed of 20 m/s, we can use the kinetic energy work-energy principle or the equations of motion. Here, we'll use the kinematic equation which is derived from the work-energy principle:

v² = u² + 2as

Where:

v is the final velocity,

u is the initial velocity,

a is the acceleration,

s is the distance.

Plugging the given values into the equation:

v² = 20² + 2 × 3 × 200

After calculating the above expression, you will get the final velocity of the aircraft.

User InTheSkies
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