Wednesday

January 28, 2015

January 28, 2015

Posted by **Linda** on Monday, April 2, 2012 at 4:18am.

I don't understand how to get there!

- Math -
**Steve**, Monday, April 2, 2012 at 10:59amif θ is the angle of elevation,

y = -16t^2 + 180t

tanθ = y/200

sec^2θ dθ/dt = 1/200 dy/dt = 1/200 (-32t + 180)

= -32/200 (t-5)

dθ/dt = -4/25 (t-5) cos^2θ

= -4/25 (t-5) (200^2/(200^2 + y^2)

y(7) = -16*49 + 180*7 = 476

at t=7,

dθ/dt = -4/25 * 2 * 40000/266576 = -.048

Seems kinda small, so you better check the details.

**Answer this Question**

**Related Questions**

math - A projectile is fired directly upward with a muzzle velocity of 860 feet ...

math - The height of a projectile fired upward is given by the formula s = v0t...

Intermediate Algebra - If a projectile is fired straight upward from the ground ...

calculus - A projectile is launched from a platform 20 feet high with an initial...

Algebra 2 Homework - 1.) Identify the axis of symmetry. f(x) = x2 + 10x + 9 2.) ...

math - If a projectile is launched from a platform 30 feet high with an initial ...

College Algebra - A projectile is thrown upward with an initial velocity of 272 ...

pre-calc - analyzing the motion of a projectile: a projectile is fired from a ...

calculus - The height of a projectile launched into the air is given by h (t)= -...

algebra - The height in feet of a projectile with an initial velocity of 32 feet...