Answer:
The speed of the object is (
)m/s
The magnitude of the acceleration is 4.00m/s²
Explanation:
Given - position vector;
r = (2.0 + 3.00t)i + (3.0 - 2.00t²)j -------------------(i)
To get the speed vector (
), take the first derivative of equation (i) with respect to time t as follows;
= 
= ![\frac{d[(2.0 + 3.00t)i + (3.0 - 2.00t^2)j] }{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5B%282.0%20%2B%203.00t%29i%20%2B%20%283.0%20-%202.00t%5E2%29j%5D%20%20%7D%7Bdt%7D)
= ------------------------(ii)
To get the acceleration vector (
), take the first derivative of the speed vector in equation(ii) as follows;
j
The magnitude of the acceleration |a| is therefore given by
|a| = |-4.00|
|a| = 4.00 m/s²
In conclusion;
the speed of the object is ()m/s
the magnitude of the acceleration is 4.00m/s²
Answer:
As your heart works harder, it becomes weaker and the damage increases. Your body gets less oxygen, and you might notice symptoms like shortness of breath, swelling in your legs, and fluid buildup. Your body tries to keep the blood it has to supply your heart and brain.
Explanation:
Answer:
(a) 
, 
(b) When 
, object is slowing down, when 
object is speeding up.
Explanation:
(a) To get the velocity function, we need to take the derivative of the position function.
To get the acceleration function, we need to take the derivative of the velocity function.
(b) The object is slowing down when velocity is decreasing by time (decelerating) hence a < 0
On the other hand, object is speeding up when a > 0
Therefore, when 
, object is slowing down, when object is speeding up.
<span>Yes, the vast majority of an atom is indeed empty space. Most of it's mass is centered in the nucleus. Flying around the nucleus are the electrons, but they're very very far away (on an atomic level anyway). Most of the atom is the space between the nucleus and the electrons.</span>
