Can a Jet Plane Safely Use a Runway with Given Parameters?
Analysis of Jet Plane Takeoff
A jet plane has a takeoff speed of v0 = 71 m/s and can move along the runway at an average acceleration of 1.5 m/s2. The length of the runway is 1.5 km.
Calculating Takeoff Distance
The equation that relates the distance, acceleration, and velocity is:
v² = v₀² + 2aΔx
Rearranging this equation gives:
Δx = (v² - v₀²) / 2a
Substituting the given values, we get:
Δx = (71² - 0²) / (2 x 1.5) = 1686.33 m
Comparison for Safety
The required takeoff distance is 1686.33 m, which is longer than the length of the runway (1.5 km). Therefore, the plane cannot safely use this runway and would need a longer runway or higher acceleration for takeoff.
Can a jet plane safely use a runway with a takeoff speed of 71 m/s, an average acceleration of 1.5 m/s², and a runway length of 1.5 km? No, the jet plane will not be able to safely use the runway as the required takeoff distance is 1686.33 m, which is longer than the runway length of 1.5 km. This means the plane would need a longer runway or a higher acceleration for safe takeoff.