Parametric equations.
use the following parametric equation:
x=(vo cos theta)t
y=h+(vo sin theta)t-16t^2

h=ft above ground
vo= ft/second
theta= angle from the horizontal.
the right field fence in a ballpark is 10 ft high and 314 ft from home plate. a baseball is hit at a point 2.5 ft above the ground. it leaves the bat at an angle of theta=40 degree, with the horizontal at the speed of 105 ft per second.

q: find the horizontal distance that the baseball travels

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this