Calculus Calculus Math Forum

 November 3rd, 2019, 10:12 PM #1 Newbie   Joined: Sep 2019 From: Papua New Guinea Posts: 13 Thanks: 1 Rates of change Please help me with this! A rocket, rising vertically, is tracked by a radar station that is on the ground 5km from the Launchpad.How fast is the rocket rising when it is 4km high and its distance from the radar station is increasing at a rate of 200 km/h? November 3rd, 2019, 10:49 PM #2 Senior Member   Joined: Sep 2015 From: USA Posts: 2,638 Thanks: 1473 as a matter of notation $\dot{f} = \dfrac{df}{dt}$ $r^2 = 5^2 + h^2= 25 + h^2$ $2 r \dot{r} = 2h\dot{h}$ $\dot{h} = \dfrac{2r \dot{r}}{2 h} = \dfrac{r \dot{r}}{h}$ $\left . r \right|_{h=4} = \sqrt{25+16} = \sqrt{41}$ $\dot{r} = 200$ $h = 4$ you can finish Tags change, rates Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post markosheehan Calculus 1 August 29th, 2016 06:25 AM markosheehan Calculus 1 August 28th, 2016 05:06 AM bilano99 Calculus 2 August 9th, 2013 07:12 AM pomazebog Calculus 4 July 26th, 2012 06:20 PM jatt-rockz Algebra 1 December 1st, 2011 08:22 AM

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