Math Problem Solver

. The equation of the path traversed by the ball headed by the footballer is

𝑦 = 𝑎𝑥2 + 𝑏𝑥 + 𝑐; (𝑤ℎ𝑒𝑟𝑒 0 ≤ 𝑥 ≤ 14 𝑎𝑛𝑑 𝑎, 𝑏, 𝑐 ∈ 𝑅 𝑎𝑛𝑑 𝑎 ≠ 0) with respect to a XY-coordinate

system in the vertical plane. The ball passes through the points

2,15 , 4,25 and 14,15. Determine

the values of a, b and c by solving the system of linear equations in a, b and c, using matrix method.

Also find the equation of the path traversed by the ball.