Given:
The take-off velocity of the plane, v=300 km/hr
The acceleration of the plane, a=2 m/s²
To find:
The takeoff time of the airplane.
Step-by-step explanation:
The initial velocity of the plane, u=0 m/s
The takeoff velocity of the plane in m/s is,
![\begin{gathered} v=300*(1000)/(3600) \\ =83.33\text{ m/s} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/nxeyrk1yl221wckwrsvi661tcdonhp3no3.png)
From the equation of motion,
![v=u+at](https://img.qammunity.org/2023/formulas/mathematics/high-school/noa8ap485tcbqe59xpwvgja2yjtndl0d9d.png)
Where t is the takeoff time of the plane.
On substituting the known values,
![\begin{gathered} 83.33=0+2t \\ \Rightarrow t=(83.33)/(2) \\ =41.7\text{ s} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/rbel0k9495uagethhp4rsi7rg19twv3c1p.png)
Final answer:
The takeoff time of the plane is 41.7 s