A rocket is launched straight up. At t seconds after being launched, it's altitude is given by h=10t^2metres.
You are on the ground 400 metres from the launch site, watching the rocket. The line of sight from you to the rocket makes an angle g radians with the horizontal. Five seconds after the launch, by how many radians per second is g changing? (Give exact answer)

Question

A rocket is launched straight up. At t seconds after being launched, it's altitude is given by h=10t^2metres.
You are on the ground 400 metres from the launch site, watching the rocket. The line of sight from you to the rocket makes an angle g radians with the horizontal. Five seconds after the launch, by how many radians per second is g changing? (Give exact answer)

mathmale · Answer

Good morning!  I'd strongly recommend that you sketch this situation, labeling all constants and variables, including the angle g.

You'll then need to relate the appropriate variables to one another with an equation.
Next, you'll need to introduce rates of change by differentiating this equation with respect to t.  

Give this a try, please.

mathmale · Answer

And a warm "Welcome" to OpenStudy!