Refer to the diagram shown below.
The following discussion assumes a simplistic analysis that ignores air resistance and variations in the terrain that the missile travels over.
Let the launch velocity be V₀ at an angle of θ relative to the horizontal.
The horizontal component of velocity is V₀ cosθ.
If the time of flight is
, then
where r = the range of the missile.
Also, the time, t, when the missile is at ground level is given by
where g = acceleration due to gravity.
t = 0 corresponds to when the missile is launched. Therefore
Therefore
Typically, θ=45° to achieve maximum range, so that
This analysis is more applicable to a scud missile rather than a powered, guided missile.
Answer:
Usually, θ=45°
Level 1: Plants and algae make their own food and are called producers. Level 2: Herbivores eat plants and are called primary consumers.
Answer:
a) y = 162.6 m
, b) R = 928.64 m
Explanation:
We will solve this exercise using projectile launch kinematics, as the initial velocities and angle are equal on the planet and the Earth, let's look for the gravedd coinage of the planet
Earth
R = v₀² sin 2θ / g
R g = v₀² sin 2θ
In the planet
4.8 R = v₀² sin 2θ /
4.8 R = v₀² sin 2θ
4.8 R = R g
= g / 4.8
= 9.8 / 4.8
= 2.04 m / s²
Now we can answer the questions
a) The maximum height
Vy² = ² - 2 g y
For ymax the vertical speed is zero ( = 0)
sin θ = /
= sinθ
= 44.9 sin 35
= 25.75 m/s
y = ²/2
y = 25.75² / (2 2.04)
y = 162.6 m
b) the scope
R = v₀² sin 2θ /
R = 44.9² sin 2 35 / 2.04
R = 928.64 m
Answer:
A) False
B) False
C) True
D) True
E) True
Explanation:
A) The formula for tangential speed v in term of angular speed ω and radius of rotation r is
So if the angular speed is constant and 0, the tangential speed is also 0. A) is false
B) False because of the centripetal acceleration:
C) True because of the formula for tangential acceleration in term of angular acceleration α is
D) True because same as D), if it has angular acceleration, it would have a tangential acceleration. Also from B) the centripetal acceleration will come with time as soon as angular speed is generated by angular acceleration.
E) True and same explanation as from B)