Answer:
85 m/s
Explanation:
The equation for velocity v and a uniform acceleration a:
[tex]v=at+v_0[/tex]
This equation has 2 unknown. You need a second equation to solve the problem.
The equation for position x and a uniform acceleration:
[tex]x = \frac{1}{2}at^2+v_0t+x_0[/tex]
This equation has only one unknown, the time t. You can combine both equations and eliminate time.
[tex]x-x_0=\frac{(v-v_0)^2}{2a}+v_0\frac{(v-v_0)}{a} =\frac{v^2-2vv_0+v_0^2+2vv_0-2v_0^2}{2a}=\frac{v^2-v_0^2}{2a}[/tex]
Solving for v:
[tex]v=\sqrt{2a(x-x_0)+v_0^2}[/tex]
