Question

He sees another zombie standing 15 m away from him. If he starts from restand accelerates at a rate of 5 m/s2 until he lunges at the zombie with a flyingkick, with what velocity did he hit the zombie?

Answer 1

We know that

• The distance is 15 meters.

,

• The acceleration is 5 m/s^2.

,

• The initial velocity is zero because he started from rest.

To find the final velocity, we use the following formula.

$v^2_f=v^2_0+2ad$

Use the given magnitudes, and solve for vf.

$\begin{gathered} v^2_f=0^2_{}+2\cdot(5\cdot\frac{m}{s^2})\cdot15m \\ v^2_f=150\cdot\frac{m^2}{s^2} \\ v_f=\sqrt[]{150\cdot\frac{m^2}{s^2}} \\ v\approx12.2\cdot\frac{m}{s} \end{gathered}$

Therefore, the final velocity is 12.2 meters per second.