1. A rocket is fired vertically into the air. Six kilometers away, a telescope tracks the rocket. At a certain moment, the angle between the telescope and the ground is and is increasing at a rate of 0.6 radians per minute. (See the picture. I have defined y to be the height of the rocket in kilometers and θ to be the angle in radians. We’ll also want t to be the number of minutes since launch.) What is the rocket’s velocity at that moment?

Question

1. A rocket is fired vertically into the air.  Six kilometers away, a telescope tracks the rocket.  At a certain moment, the angle between the telescope and the ground is   and is increasing at a rate of 0.6 radians per minute.  (See the picture.  I have defined y to be the height of the rocket in kilometers and θ to be the angle in radians.  We’ll also want t to be the number of minutes since launch.)  What is the rocket’s velocity at that moment?
a. What derivative is given in the problem?  What are its units?

b. What derivative is asked for in the problem?  What are its units?

c. Solve the problem

Kenny · Answer

14.4 km/min

Mike · Answer

slideplayer(dot)com / slide / 7373773 slide 5 Care: they're working with 0.9rad/min