Question

An airplane flies at a speed of 100 m/s, and starts to accelerate

constantly at a rate of 50 m/s2. How fast is the plane flying after
traveling a distance of 1 kilometer (in m/s, rounded to the
nearest tenth digit)?

Answer 1

The plane is flying at a speed of approximately 331.7 m/s after traveling a distance of 1 kilometer.

Step-by-step explanation:

To determine how fast the plane is flying after traveling a distance of 1 kilometer, we can use the equation of motion:

v² = u² + 2as

where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance traveled.

Given:

• Initial velocity (u) = 100 m/s
• Acceleration (a) = 50 m/s²
• Distance traveled (s) = 1 kilometer = 1000 meters

Plugging the values into the equation:

v² = (100)² + 2(50)(1000)

v² = 10000 + 100000

v² = 110000

Taking the square root of both sides:

v = sqrt(110000) = 331.7 m/s (rounded to the nearest tenth digit)

Therefore, the plane is flying at a speed of approximately 331.7 m/s after traveling a distance of 1 kilometer.