Answer:
r = 0.63 AU
Explanation:
In this question, we are interested in calculating the distance from the sun that the satellite should orbit.
From the question;
given time period of satellite is T = 0.5 year
Mathematically;
T is directy proportional to r^3/2
Hence;
T = constant * r^3/2
0.5/1 = r^1.5 / 1^1.5
( 1 is the the distance of the earth’s orbit to the sun in AU)
r = 0.63 AU
Answer:
The speed of sound is 366.67 m/s.
Explanation:
height, h = 44 m
total time, T = 3.12 s
Let the time taken by the stone to hit the water is t.
use second equation of motion
![h = u t + 0.5 gt^2\\\\44 = 0.5\times 9.8 t^2\\\\t = 3 s](https://tex.z-dn.net/?f=h%20%3D%20u%20t%20%2B%200.5%20gt%5E2%5C%5C%5C%5C44%20%3D%200.5%5Ctimes%209.8%20t%5E2%5C%5C%5C%5Ct%20%3D%203%20s)
Time taken by sound to g up
t'=T - t = 3.12- 3 = 0.12 s
The speed of sound is
![v = \frac{h}{t'}\\\\v = \frac{44}{0.12}\\\\v = 366.7 m/s](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7Bh%7D%7Bt%27%7D%5C%5C%5C%5Cv%20%3D%20%5Cfrac%7B44%7D%7B0.12%7D%5C%5C%5C%5Cv%20%3D%20366.7%20m%2Fs)
From that particular short list, the item that best describes a plane
is the surface a flat table (or of any other flat thing).
-- The edge of a desk is a piece of a straight or curved line.
-- A curve in a road is a piece of a curved line.
-- The intersection of two walls is a piece of a straight line.
The angle that the boat must follow for it to be able to head upstream successfully should be 45 degrees from the current at which it is crossing. This is exact protocol that is done or learned by rescuers. In able to swim across a current, you must not invest your energy in heading towards it but rather move in a semi-perpendicular direction from it.
Answer:
The acceleration of that sports car is
.
Explanation:
Acceleration is defined as the rate of change of velocity of an object.
We can measure acceleration using the change is speed per unit time.
Given is the initial speed, the final speed of the car and the time taken for the car to accelerate to that speed.
Finding acceleration:
Acceleration = Change is speed/Time taken
Acceleration = (Final speed - Initial speed)/ Time
Acceleration = (26.8 - 0)/ 5.1
![Accelation = 5.255 ms^{-2}](https://tex.z-dn.net/?f=Accelation%20%3D%205.255%20ms%5E%7B-2%7D)
![Accelation = 5.26 ms^{-2}](https://tex.z-dn.net/?f=Accelation%20%3D%205.26%20ms%5E%7B-2%7D)