Answer :
Answer:
12 m/s
Explanation:
Projectile Motion
It's also known as 2D motion because the movement takes place in both axis x and y. The x-axis motion is at a constant speed since in absence of friction, no external force stops or accelerates the object. The y-axis motion is at variable speed, which is changed by the acceleration of gravity that makes the object to reach a maximum height and then go back to ground level.
The maximum horizontal distance reached (also called Range) is given by
[tex]\displaystyle X_m=\frac{V_{o}^2sin2\theta}{g}[/tex]
Knowing that [tex]\theta=18.8^o, X_m=8.95\ m[/tex], we solve for Vo
[tex]\displaystyle V_o=\sqrt{\frac{gX_m}{sin2\theta}}[/tex]
[tex]\displaystyle V_o=\sqrt{\frac{9.8\cdot 8.95}{sin(2\cdot 18.8^o)}}=12\ m/s[/tex]
Thus, the initial speed of Mike Powell was 12 m/s