A Plane has a takeoff speed of 150 m/s and requires 1500m to reach that speed. Determine the acceleration of the plane and the time required to reach this speed.

Respuesta :

Answer:

The acceleration of the plane and the time required to reach this speed is  (a)= 7.5 [tex]m/sec^2[/tex] and time(t) = 20 seconds  

Explanation:

Given data Initial velocity [tex](V_i)[/tex] = 0  

Final velocity ([tex]V_f[/tex]) = 150 m/second

Distance (d) = 1500 m

We have the formula,  [tex]$\mathrm{V}_{\mathrm{f}}^{2}=\mathrm{V}_{\mathrm{i}}^{2}+2 \mathrm{ad}$[/tex]

which gives [tex]150^2[/tex] = 0+2a(1500)    

22500 = 3000 a  

acceleration (a) = 7.5 [tex]m/s^2[/tex]

[tex]$\mathrm{V}_{\mathrm{f}}=\mathrm{V}_{\mathrm{i}}+\mathrm{at}$[/tex]

150 = 7.5 t

t= 150/7.5 = 20

t = 20 seconds.