Reference no: EM1318311

Find the solution of the given linear equation.

A parachutist exits a plane at 1067 M.  She counts a specified number of seconds before opening her chute.  The equation describing her height above the ground during the free fall is h = -4.9t2 + 1067, where the height h is measured in meters and time t in seconds.  After she opens her chute, the equation describing her height above the ground is h = -4.4t + 890.

At the point at which she opens her parachute, height h and time t are the same for both equations.  

i)    Solve the linear-quadratic system algebraically 
h = -4.9t2 +1067
h = -4.4t + 890
To determine the time and the height at which she opens her parachute.

ii) Illustrate your result graphically, showing the two functions and the point(s) of intersection. 

iii) If a line and a parabola are drawn on the same grid, do they always intersect at one point? What other possibilities are there? Explain your answer using diagrams as necessary.