Explanation:
energy conservation and fatigue management -tiredness is a common symptom of a heart attack and although rest is important activity is also required to facilitate a return to health. an occupational therapist said energy conservation and fatigue management is techniques to be implemented throughout the day. to help clients achieve their goals
Answer:
the acceleration required is 1.37m/s^2
Explanation:
The car is having a constant velocity movement, so if we calculate the time to reach 897m, we can use it to find the acceleration the policeman need to apply to reach the car.
![x=v*t\\t=\frac{x}{v}\\t=\frac{897m}{24.8m/s}\\t=36.17s](https://tex.z-dn.net/?f=x%3Dv%2At%5C%5Ct%3D%5Cfrac%7Bx%7D%7Bv%7D%5C%5Ct%3D%5Cfrac%7B897m%7D%7B24.8m%2Fs%7D%5C%5Ct%3D36.17s)
the policeman is traveling with a constant acceleration starting from rest so:
![x=\frac{1}{2}*a*t^2\\\\a=\frac{2*x}{t^2}\\\\a=1.37 m/s2](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%2Aa%2At%5E2%5C%5C%5C%5Ca%3D%5Cfrac%7B2%2Ax%7D%7Bt%5E2%7D%5C%5C%5C%5Ca%3D1.37%20m%2Fs2)
Good morning.
We have:
![\mathsf{\overset{\to}{a} = 29\overset{\to}{j}}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Coverset%7B%5Cto%7D%7Ba%7D%20%3D%2029%5Coverset%7B%5Cto%7D%7Bj%7D%7D)
Where
j is the unitary vector in the direction of the
y-axis.
We have that
![\mathsf{\overset{\to}{a}+\overset{\to}{b} = -18\overset{\to}{j}}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Coverset%7B%5Cto%7D%7Ba%7D%2B%5Coverset%7B%5Cto%7D%7Bb%7D%20%3D%20-18%5Coverset%7B%5Cto%7D%7Bj%7D%7D)
We add the vector
-a to both sides:
![\mathsf{\overset{\to}{b} = -18\overset{\to}{j} -\overset{\to}{a} = -18\overset{\to}{j} -29\overset{\to}{j}}\\ \\ \mathsf{\overset{\to}{b}=-47\overset{\to}{j}}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Coverset%7B%5Cto%7D%7Bb%7D%20%3D%20-18%5Coverset%7B%5Cto%7D%7Bj%7D%20-%5Coverset%7B%5Cto%7D%7Ba%7D%20%3D%20-18%5Coverset%7B%5Cto%7D%7Bj%7D%20-29%5Coverset%7B%5Cto%7D%7Bj%7D%7D%5C%5C%20%5C%5C%20%5Cmathsf%7B%5Coverset%7B%5Cto%7D%7Bb%7D%3D-47%5Coverset%7B%5Cto%7D%7Bj%7D%7D)
Therefore, the magnitude of
b is
47 units.
Answer:
2.78 m
Explanation:
At the peak, the velocity is 0.
Given:
a = -1.6 m/s²
v₀ = 2.98 m/s
v = 0 m/s
x₀ = 0 m
Find:
x
v² = v₀² + 2a(x - x₀)
(0 m/s)² = (2.98 m/s)² + 2(-1.6 m/s²) (x - 0 m)
x = 2.775 m
Rounded to 3 sig-figs, the astronaut halloweener reaches a maximum height of 2.78 meters.
There water has a lot of salt in it, so it would be denser. People float better when the water is denser.