Respuesta :
Given that,
Initial speed, u = 20 km/s
Acceleration of plane, a = 2.4 km/h²
Time, t = 59 s
We need to find the expression to find the final velocity of an object.Let the final velocity is v.
Using the second equation of kinematics:
[tex]\Delta s=ut+\dfrac{1}{2}at^2[/tex]
a is acceleration, [tex]a=\dfrac{v-u}{t}[/tex]
So,
[tex]\Delta s=ut+\dfrac{1}{2}\times \dfrac{v-u}{t}\times t^2\\\\\Delta s=ut+\dfrac{1}{2}(v-u)t\\\\\Delta s=\dfrac{2ut+vt-ut}{2}\\\\\Delta s=\dfrac{vt+ut}{2}\\\\\Delta s=(\dfrac{v-u}{2})t[/tex]
We can use the above formula to find the final velocity (v) of the plane.