Answer:
t = 3w/gk
y = w²/gk²(2+e^-gkt/t)
Explanation:
The detailed step by step solution can be found in the attachment below.
Vt = W/k. It is the velocity of the body when the drag force = the weight of the particle.
I steps have been explaine6in the attachments below.
In order to answer this exercise you need to use the formulas
S = Vo*t + (1/2)*a*t^2
Vf = Vo + at
The data will be given as
Vf = final velocity = ?
Vo = initial velocity = 1.4 m/s
a = acceleration = 0.20 m/s^2
s = displacement = 100m
And now you do the following:
100 = 1.4t + (1/2)*0.2*t^2
t = 25.388s
and
Vf = 1.4 + 0.2(25.388)
Vf = 6.5 m/s
So the answer you are looking for is 6.5 m/s
Answer:
1.526 m
Explanation:
The motion sensor sends sound waves in air which travels at a speed of 343 m per second at 20 degree. If d be the distance of the reflecting object
total distance travelled = 2d
Time taken t = 8.9 x 10⁻³ s
velocity v = 2d / t
343 = 2 d / (8.9 x 10⁻³)
d = 1.526 m
A hot air balloon rises in the first place because the air inside is hot, which rises. So, if the air inside is not heated, it fails to rise and falls. Warm air rises because the particles get excited and jiggle with the heat, and cause the air to take up more space. So, as the surrounding air is probably colder and denser, the less dense hot air rises up in the hot air balloon.
Acceleration times mass equals speed