Explanation:
We know that,
Where,
h = Height at which pressure is to be calculated
Answer:
t = 0.96 s is the time it takes for the angle to reduce
Explanation:
In the launch of projectiles, the velocity is broken down into its x and y components, the velocity in the x-axis is constant, as there is no acceleration, instead the velocity in the axis and is reduced by the effect of the acceleration of gravity.
We can find Vox for the initial conditions
Voy = Vo sin θ
Voy = 29 sin 36
VoY = 17 m/s
Vox = Vo cos θ
Vox = 29 cos 36
Vox= 23.5 m/s
Vx = Vox
The velocity on the x axis is constant
By trigonometry, we find the firing angle
tan θ = Voy/ Vx
Vy = Vx tan θ
Vy = 23.5 tan 18
Vy = 7.64 m/s
Now that we have the vertical speed we can find the time
Vy = I'm going - g t
t = (Vy -Voy) / g
t = (17 - 7.64) /9.8
t = 0.96 s
Be the time it takes for the angle to reduce
The displacement of the train after 2.23 seconds is 25.4 m.
<h3>Resultant velocity of the train</h3>
The resultant velocity of the train is calculated as follows;
R² = vi² + vf² - 2vivf cos(θ)
where;
- θ is the angle between the velocity = (90 - 51) + 37 = 76⁰
R² = 8.81² + 9.66² - 2(8.81 x 9.66) cos(76)
R² = 129.75
R = √129.75
R = 11.39 m/s
<h3>Displacement of the train</h3>
The displacement of the train is the change in position of the train after a given period of time.
The displacement is calculated as follows;
Δx = vt
Δx = 11.39 m/s x 2.23 s
Δx = 25.4 m
Thus, the displacement of the train after 2.23 seconds is 25.4 m.
Learn more about displacement here: brainly.com/question/2109763
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Answer:
acceleration 8 km/h/s south
Explanation:
First of all, let's remind that a vector quantity is a quantity which has both a magnitude and a direction.
Based on this definition, we can already rule out the following two choices:
distance: 40 km
speed: 40 km/h
Since they only have magnitude, they are not vectors.
Then, the following option:
velocity: 5 km/h north
is wrong, because the car is moving south, not north.
So, the correct choice is
acceleration 8 km/h/s south
In fact, the acceleration can be calculated as
where
v = 40 km/h is the final velocity
u = 0 is the initial velocity
t = 5 s is the time
Substituting,
And since the sign is positive, the direction is the same as the velocity (south).
