Answer:
v = 66.4 m/s
Explanation:
As we know that plane is moving initially at speed of
[tex]v = 70 m/s[/tex]
now we have
[tex]v_x = 70 cos25[/tex]
[tex]v_x = 63.44 m/s[/tex]
[tex]v_y = 70 sin25[/tex]
[tex]v_y = 29.6 m/s[/tex]
now in Y direction we can use kinematics
[tex]v_y = v_i + at[/tex]
[tex]v_y = 29.6 - (9.81 \times 5)[/tex]
[tex]v_y = -19.5 m/s[/tex]
since there is no acceleration in x direction so here in x direction velocity remains the same
so we will have
[tex]v = \sqrt{v_x^2 + v_y^2}[/tex]
[tex]v = \sqrt{63.44^2 + 19.5^2}[/tex]
[tex]v = 66.4 m/s[/tex]