Answer:
The horizontal speed is approximately 29 m/s.
Explanation:
Given that; range = 80 meters, height = 37 meters.
The horizontal speed can be determined by:
R = U[tex]\sqrt{\frac{2H}{g} }[/tex]
Where R is the range, U is the velocity of the object, H is the height and g is the acceleration due to gravity (9.8 m/[tex]s^{2}[/tex]).
So that:
80 = U[tex]\sqrt{\frac{2*37}{9.8} }[/tex]
= U[tex]\sqrt{\frac{74}{9.8} }[/tex]
= U[tex]\sqrt{7.55102}[/tex]
80 = 2.747912U
⇒ U = [tex]\frac{80}{2.747912}[/tex]
= 29.1130
U ≅ 29 m/s
The horizontal speed is approximately 29 m/s.
