Question

An airplane ascends such that its gain h in altitude is proportional to the square root of the change x in horizontal distance traveled. If h = 312 m for x = 144 m and vx is constant at 310 m/s, find the velocity at this point. It is given that the airplane's gain h in altitude is proportional to the square root of the change x in horizontal distance traveled. Find the proportionality constant k for when his expressed as a function of x. k= (Simplify your answer. Round to the nearest integer as needed.) Find the magnitude of the velocity of the plane at the point when h= 312 m and x = 144 m. The magnitude is approximately (Round to the nearest integer as needed.) Find the direction of the velocity of the plane at the point when h = 312 m and x = 144 m. Enter an angle o such that - 180° so< 180°. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The direction is approximately (Round to the nearest integer as needed.) O B. The answer is undefined.

Answer 1

h =312m . = 144 m Vn = 310 m/s hlm) sh=312 Vse > X (m) AX= 144 a ) We have Ah s Vax. = k van ди 1x. U k 11 - Ah ſon 312 V144 K= 26 (Aus) CS Scanned with CamScanner

b) We have oh=k van : vy =k J Vx 26 x 310 = ( 1 Vy 457.77 Vy 451.77 m/s :: Magnitude of velocity Vaka Vy | 457.77²+ Biol v 553 mis (Ans) 2 + tam o = Vx () Angle o is given by vy tant cu tenso 55.89° Cans) --> o = 457.77 ( 310 CS Scanned with CamScanner