Question

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

Answer 1

2.5+105sin40 t -16 t^2 = 0
t = (-105sin(40) + sqrt(105^2sin^2(40)-4(-16)(2.5))) /2(2.5)

t = .235 seconds if i entered those right