A dive bomber has a velocity of 255 m/s at an angle θ below the horizontal. When the altitude of the aircraft is 2.15 km, it releases a bomb, which subsequently hits a target on the ground. The magnitude of the displacement from the point of release of the bomb to the target is 3.35 km. Find the angle θ.
If you do not consider the action of gravity, you will have a triangle: |dw:1409875076028:dw|
Pretty sure i need to consider gravity as 9.8 m/s^2
now, tan(theta) = 3.35/2.15 theta = atan(3.35/2.15) theta = 1.00021rad = 57.31º
Considering the gravity, we must first find the velocity components: Vx = V*sin(theta) Vy = V*cos(theta)
vy = 30.188 vx = 26.242
i got that far
how you got these velocities?
the same equations you jsut posted..
that is not correct because 255 is not equal to sqrt(30.188^2 + 26.242^2)
got it?
L = Vx*t L = V*sin(theta)*t, now find t in terms of theta
H = Vy*t - 0.5*9.8*t^2 H = V*cos(theta)*t - 0.5*9.8*t^2
solve for t, plug it back and solve for theta
what is vx?
is the x component of teh velocity
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