Ana plane with a speed o 94.9 m s is imbing upward at an an e of 653·with respec

Question

Ana plane with a speed o 94.9 m s is imbing upward at an an e of 653·with respect to the ho z nta when the pla esattudes6yy m the 1 ree se apa age a ca the distance along the ground, meesured from a point directly beneath the point of release, to where the package hits the earth. (b) Relative to the ground, determine the angie of the velocity vector of the package just before impact e (b) Number 56.7 Question Attempts: Unlimited sump LATER A Rights Reserved. A Division of ohn.wy. here to search @ /2017 2 6

Explanation / Answer

initial velocity= 94.9 m/s at 65.3 deg

v0x = 94.9 cos65.3 = 39.7 m/s

v0y = 94.9 sin65.3 = 86.2 m/s

vertical displacement as it reaches ground, y = 0 - 677 = - 677 m

ay = -9.8 m/s^2

Applying y = v0y t + ay t^2 /2

- 677 = 86.2 t -9.8 t^2/ 2

4.9 t^2 - 86.2 - 677 = 0

t = 23.5 sec

(A) horizontal distance covered, x = v0x t

x = 39.7 x 23.5 = 933 m

(B) vfx =v0x = 39.7 m/s

vfy = v0x + a t = 86.2 - (9.8 x 23.5) = - 144.1 m/s

theta = tan^-1(144.1 / 39.7)

= 75 deg below the horizontal.

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