1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ololo11 [35]
2 years ago
5

For the ballistic missile aimed to achieve the maximum range of 9500 km, what is the maximum altitude reached in the trajectory

Physics
1 answer:
liraira [26]2 years ago
7 0

Explanation:

The range <em>R</em> of a projectile is given the equation

R = \dfrac{v_0^2}{g}\sin{2\theta}

The maximum range is achieved when \theta = 45° so our equation reduces to

R_{max} = \dfrac{v_0^2}{g}

We can solve for the initial velocity v_0 as follows:

v_0^2 = gR_{max} \Rightarrow v_0 = \sqrt{gR_{max}}

or

v_0 = \sqrt{(9.8\:\text{m/s}^2)(9.5×10^6\:\text{m})}

\:\:\:\:\:\:\:=9.6×10^3\:\text{m/s}

To find the maximum altitude H reached by the missile, we can use the equation

v_y^2 = v_{0y}^2 - 2gy = (v_0\sin{45°})^2 - 2gy

At its maximum height H, v_y = 0 so we can write

0 = (v_0\sin{45°})^2 - 2gH

or

H = \dfrac{(v_0\sin{45°})^2}{2g}

\:\:\:\:\:\:= \dfrac{[(9.6×10^3\:\text{m/s})\sin{45°}]^2}{2(9.8\:\text{m/s}^2)}

\:\:\:\:\:\:= 2.4×10^6\:\text{m}

You might be interested in
A tennis racket hits a tennis ball with a force of F=at−bt2, where a = 1290 N/ms , b = 330 N/ms2 , and t is the time (in millise
denpristay [2]

Answer:

The resulting velocity of the ball after it hits the racket was of V= 51.6 m/s

Explanation:

m= 55.6 g = 0.0556 kg

t= 2.8 ms = 2.8 * 10⁻³ s

F= 1290 N/ms * t - 330 N/ms² * t²

F= 1024.8 N

F*t= m * V

V= F*t/m

V= 51.6 m/s

6 0
3 years ago
What do you mean by water equivalent of iron is greater than copper?
Varvara68 [4.7K]
Water equal to iron is greater than cooper
3 0
3 years ago
Read 2 more answers
What type of season does Daytona Beach, FL most likely have?
Alexus [3.1K]

i think its very hot summers

4 0
3 years ago
Read 2 more answers
How would you go about measuring the speed of a vehicle? What measurements would you have to take? What calculations would you h
White raven [17]

Answer:

For a body moving at a uniform velocity you can calculate the speed by dividing the distance traveled by the amount of time it took, for example one mile in 1/2 hour would give you 2 miles per hour. If the velocity is non-uniform all you can say is what the average speed is.

3 0
2 years ago
You are traveling at 14 m/s for 20 seconds. What is your displacement?
enyata [817]

Velocity = 14 m/s

Time = 20 s

Displacement = Velocity×Time = (14×20) m = 280 m

The displacement is 280 m towards the direction of motion.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Block 1, of mass m₁ = 1.30 kg , moves along a frictionless air track with speed v₁ = 29.0 m/s. It collides with block 2, of mass
    13·1 answer
  • Consider a steel guitar string of initial length l=1.00m and cross-sectional area a=0.500mm2. the young's modulus of the steel i
    7·1 answer
  • A train rolls to a stop along a horizontal track without the conductor applying the brakes. What answer choice BEST explains why
    9·1 answer
  • Which statement about projectile motion is true?
    12·2 answers
  • two girls drag a bag across the floor. One girl exerts a force of 10 newtons and the other girl a force of 30 Newton's in the sa
    9·1 answer
  • The slope of a distance-versus-time graph shows an object's
    7·1 answer
  • Which type of electromagnetic waves would the best to use in an object designed to cook food?
    14·1 answer
  • What two main gasses are exchanged during the process of breathing??
    15·1 answer
  • Which are two characteristics of a proton
    6·2 answers
  • Explain how geothermal energy and tidal energy can be used effectively?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!