For full credit, show all of your work, and state your answers with correct unit
ID: 582603 • Letter: F
Question
For full credit, show all of your work, and state your answers with correct units and the proper number of significant figures.) A jet plane with a speed of 80.6 m/s is diving at an angle of 9 = 30.0degree below the horizontal when it releases a projectile (which initially has the same velocity as the plane). The horizontal distance between the release point and where the projectile reaches the ground is Ax = 700. m. Ignoring air resistance, (a) express the initial velocity v_0 of the projectile in unit vector notation, (b) What is the time of flight of the projectile? (c) How high above the ground was the release point? (d) What is the final velocity vector (just before impact) in unit vector notation?Explanation / Answer
vo = 80.6*cos30i - 80.6*sin30j
vo = 69.8i - 40.3 j
(b)
along horizantal
dx = vox*T
700 = 69.8*T
T = 10.03 s <<-------------answer
(c)
along vertical
displacement y = -h
from equation of motion
y = voy*T + 0.5*ay*T^2
-h = (-40.3*10.03) - (0.5*9.81*10.03^2)
h = 897.65 m <<<<<<<<<<<<<<<<------answer
(d)
v = vo + a*t
v = 69.8i - 40.3 j - 9.81*10.03 j
v = 69.8i - 138.7 j <<<<<<<<<------answer
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