Answer:
5 m/s²
Explanation:
Use the acceleration formula: 
- vf = final velocity (m/s)
- vi = initial velocity (m/s)
Based on the information given to us by the prompt, we know:
Substitute these values for the variables to calculate the acceleration:

Therefore, the acceleration of the bus is 5 m/s².
Here we can use momentum conservation as there is no external force on sled and child while he jump on sled
by momentum conservation equation


since sled and child both moves with same speed so here they both will have same final speed "v"
by solving above equation we will have
25 v = 80
v = 3.2 m/s
So they will move together with speed 3.2 m/s
Answer:
2.47 %
Explanation:
We are given;
Frequency emitted by source(bird); f_s = 1420 Hz
Frequency heard by observer; f_o = 1456 Hz
From doppler shift frequency, we know that;
f_o = f_s [c/(c - c_s)]
Where c_s is speed of source which is the bird and c is speed of sound.
Thus;
Rearranging the equation, we have;
f_s/f_o = (c - c_s)/c
f_s/f_o = 1 - (c_s/c)
Plugging in the relevant values to get ;
1420/1456 = 1 - (c_s/c)
0.9753 = 1 - (c_s/c)
1 - 0.9753 = (c_s/c)
(c_s/c) = 0.0247
Since we want it expressed im percentage,
Thus, (c_s/c) % = 0.0247 x 100 = 2.47 %
Answer:
D) Dalton's theory had repeated observations which were supported by extensive evidence.
Explanation:
Dalton had a basis for this prediction and theory. He worked extensive on gases before stepping forward with the Dalton's atomic theory.
His scientific conjecture was highly corroborated with a wide array of experimental evidence and many infallible proofs.
- Science is a logical way of reasoning that follow methodological approaches.
- It deals with empirical experimental proofs that must have been gathered and the veracity ascertained.
- Dalton during his time presented the scientific community with a pool of observations balanced with experimental evidences he accumulated with time.
The maximum speed the mass can have before it breaks is 2.27 m/s.
The given parameters:
- <em>maximum mass the string can support before breaking, m = 17.9 kg</em>
- <em>radius of the circle, r = 0.525 m</em>
The maximum speed the mass can have before it breaks is calculated as follows;

Thus, the maximum speed the mass can have before it breaks is 2.27 m/s.
Learn more about maximum speed of horizontal circle here:brainly.com/question/21971127