Answer:
the angle is changing at a rate of 0.0375 rad/s when the time is t=8 seconds
Step-by-step explanation:
since the line D that starts from the spectator and follows the plane has the following equation
D² = x² + H² , where H= altitude of the plane , x= horizontal distance
then for x=v*t , where v=speed of the plane and t=time since the plane has passed overhead , we have for the elevation angle
tan θ = x/y = v*t /H
θ = tan⁻¹ ( v*t /H)
the rate of change in the angle of the spectator's sight θ with the time is
dθ/dt = 1/1+(v*t /H)² * (v/H) = (v/H)/[1+ (v/H)²*t²]
for t=8 seconds
dθ/dt = (875 ft/s/21000 ft)/[1+ (875 ft/s/21000 ft)²*(8 s)²] = 0.0375 rad/s
therefore the angle is changing at a rate of 0.0375 rad/s when the time is t=8 seconds
Answer:
6 numbers greater than 6, plus 1,3 and 5- so nine total.
9/12, simplified 3/4
Answer:
The answer is "0.586"
Step-by-step explanation:
Please find the solution to the given question:
Answer:
-0.8 (A) -2.25 (B) -2 (C) (Look at explanation to see answers for first bubbles.)
Step-by-step explanation:
A:
1.4 - 2.2 = -0.8
B:
-0.75 - 1.5 = -2.25
C:
-0.2 - 1.8 = -2
