67 257
Assignments Done
99,3%
Successfully Done
In November 2018

Answer to Question #4547 in Mechanics | Relativity for Lisa Thomas

Question #4547
For the intercontinental ballistic missile to have a range of 10000 km, what must be the speed v0 of the missile at the end of the acceleration phase? Take the distance of the acceleration phase, called the boost time, as negligible compared to the travel time. Answer in units of km/s
Expert's answer
θ - angle between initial velosity and horizon
for maximum range teta=45
Range R is given by
R = H component of velocity x time of flight
R = vo cos θ x 2 vo sin θ / g

R = 19500 x 10^3 m
sin 45 x cos 45 = 0.5
g = 9.81 m/s^2

vo^2 =R g / (2 x 0.5)
vo = 13831 m/s=13.8 km/s

Answer: 13.8 km/s

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question

Submit
Privacy policy Terms and Conditions