Friday
March 27, 2015

Homework Help: physics

Posted by ryan on Saturday, November 17, 2012 at 1:58pm.

Two radar stations A and B, are separated by horizontal distance of (a=500 metres), they both track the position of a plane C by recording angles (alpha), and (beta) at 1 second intervals.

time (sec) 9 10 11
the angle A(alpha) 54.80 54.06 53.34
the angle B (beta) 65.59 64.59 63.62

Note: angles given in degrees

If three successive readings are shown in the table

calculate the speed v of the plane and the climb angle at time t=10 seconds.

the coordinates of the plane can be shown to be as follows,

x =a*(tan(beta))/(tab(beta)- tan(alpha))

y =a*((tan(alpha)*tan(beta))/(tan(beta)-tan(alpha))

here x and y give the normal coordinates
from the first station. we need to find a function in terms of (alpha,Beta)by using calculus then substitute into this
values of alpha,beta when t=10 sec.

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

physics (speed of plane by radar) - The radar stations A and B, separated by the...
mechanics (calculating plane speed and climb angle - Two radar stations A and B...
Physics - A plane flies towards a ground-based radar dish. Radar locates the ...
Math ( Polynomial ) - This time three questions - 1. If (x^2 - 1 ) is a factor ...
Math ( Polynomial ) - This time three questions - 1. If (x^2 - 1 ) is a factor ...
calculus - A plane flying horizontally at an altitude of 1 mi and a speed of 500...
Math - If alpha and beta are the zeros of the polynomial ax^2 + bx + c then ...
physics - An air-traffic controller observes two aircraft on his radar screen. ...
trig - evaluate the following in exact form, where the angeles alpha and beta ...
pre cal - An airplane is flying at a speed of 350 mi/h at an altitude of one ...

Members