Maximum altitude of a rocket if launched vertically

Finally, substitute this velocity into the formula for maximum height to find the answer.In summary, to find the maximum altitude a missile can reach when launched vertically, you can use the formula v2=u2 +2as, where v=0, u=0, a=-9.8 (assuming positive direction is up), and s is the maximum altitude. This can be achieved by extracting the necessary information from the given statement about the missile's maximum horizontal range of 160km and using it to calculate the projectile's maximum velocity, which can then be substituted into the formula for maximum height.
  • #1
karan01
1
0

Homework Statement



The missile has maximum horizontal range of 160km. What is the maximum altitude it can reach if launched vertically?

Homework Equations



v2=u2 +2as

The Attempt at a Solution



v=0 (because the velocity is zero when it is not rising anymore)
u=0
a= -9.8 (up is the positive direction
s= the answer, the height

That is how I thought I am supposed to do it...

By the way you guys do a great job on these forums, I lurk here a lot :)
 
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  • #2
karan01 said:
The missile has maximum horizontal range of 160km.

You can extract the information you need from that line. How do you achieve maximum horizontal distance with a projective under gravity?

Also are you sure initial velocity, u, should be zero?
 
  • #3
apply the formula for calculating the maximum range. From there u will get the Velocity of the projectile.
 

FAQ: Maximum altitude of a rocket if launched vertically

What factors affect the maximum altitude of a rocket if launched vertically?

The maximum altitude of a rocket is affected by several factors, including the amount of thrust produced by the rocket, the weight of the rocket and its payload, the aerodynamics of the rocket, and atmospheric conditions such as air density and wind.

How does the rocket's thrust affect its maximum altitude?

The greater the amount of thrust produced by the rocket, the higher it will be able to go. This is because thrust is the force that propels the rocket upwards and counteracts the force of gravity.

Can the weight of the rocket and its payload impact its maximum altitude?

Yes, the weight of the rocket and its payload can significantly affect the maximum altitude. The heavier the rocket and payload, the more thrust will be required to overcome the force of gravity and reach a higher altitude.

How do atmospheric conditions affect the maximum altitude of a rocket?

The density of the air and wind conditions can impact the maximum altitude of a rocket. A denser atmosphere will create more resistance, making it harder for the rocket to reach higher altitudes. Wind can also affect the trajectory and stability of the rocket, potentially limiting its maximum altitude.

Is there a maximum altitude that a rocket can reach if launched vertically?

There is no specific maximum altitude for a rocket launched vertically, as it ultimately depends on the design, power, and conditions of the specific rocket. However, rockets have been known to reach altitudes of over 100 miles when launched vertically.

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