Answer:
I think it's 3) speed and direction
Answer: 6.25 m/s^2
Explanation:
The distance between Vinny and the ramp is 200m
And he has 8 seconds (At max) to reach that distance.
The initial velocity is 0m/s
The initial position is 0m
Now, we want to find the constant acceleration in order to do this, so suppose that we have a constant acceleration A.
a(t) = A.
To have the velocity, we must integrate over time, and remember that the constant of integration is equal to zero because the initial velocity is zero.
v(t) = A*t
For the position, we integrate again over time.
p(t) = 0.5*A*t^2
And we want to travel 200m in 8 seconds, then:
p(8s) = 200m
0.5*A*(8s)^2 = 200m
A*32s^2 = 200m
A = 200m/32s^2 = 6.25 m/s^2
This is the minimum acceleration in order to do this, if Vinny has a larger acceleration he will travel the 200m in a smaller time.
Answer:
3
Explanation:
The half-life is the time it takes for the amount of radioactive isotope to halve. Therefore, we have:
- After 1 half-life, only 1/2 of the element will be left
- After 2 half-lives, only 1/4 of the element will be left
- After 3 half-lives, only 1/8 of the element will be left
So, it will take 3 half-lives for the element to become 1/8 of its original amount.
Mathematically, this can be also verified by using the equation
where
N(t) is the amount of the element left at time t
N0 is the initial amount of the element
is the half-life
Substituting 
(3 half-lives), we find
Answer:
1000 N/C
Explanation:
Potential difference, V = 60 V
Distance between the plates, d = 6 cm = 0.06 m
The electric field between the plates is given by
E = V / d
E = 60 / 0.06 = 1000 N/C
Thus, the electric filed between the plates is 1000 N/C.
