Question

20 m

A projectile is fired from the origin (at y = 0 m) as shown in the diagram. The initial velocity components are Vox = 310 m's and Vov = 26 m s The
projectile reaches maximum height at point P. then it falls and strikes the ground at point Q which is 20 m below the launch point. What is the horizontal
distance that the projectile travels (labeled x in the diagram)?
O 1.3 km
700 m
O 32 km
O 870 m
O 1.9 km​

Answer 1

1.9 km​

Step-by-step explanation:

The equation for vertical motion is ...

h(t) = -4.9t^2 +26t +20

This will have a zero near t = 5.988 seconds.*

The horizontal distance traveled in that time is ...

(310 m/s)(5.988 s) ≈ 1856 m ≈ 1.9 km

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* The root of a quadratic can be found numerous ways. We choose the quick and easy: let a graphing calculator show it to you.