Question

A rocket from house A is lunched to house B. The path of his rocket is given by R(t) = 0.1t^2 + 124t , where R(t) is the rocket’s height, in metres and t is the time, in seconds since it was launched. House B has a satellite capable of shooting down rockets. The path of House B's projectile is given by P(t) = −4t +80000, where P(t) is the height of the projectile, in metres. Determine the rocket’s height when it is shot down