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.