Question

Please show all steps, I'm practicing for an exam. Thanks!!

The path of a fighter jet is described by r (t) = (10−3t^2) i − (5/t^2) j + te^(3−3t) k , where distances are measured in kilometers (km) and t in minutes (min). A laser is fired in the tangential direction toward a target on the x-axis at the time t0 = 1.
(a) What point on the x-axis does the laser hit?

(b) Suppose the laser travels twice the speed of the jet at the instant it is fired. How far away is the jet from the target on the x-axis the instant the laser hits it?

Answer 1