The solution is
Explanation:
The given expression is
We need to determine the solution of the given expression.
The solution of the expression can be determined by expanding the expression.
Let us use the identity to expand the term
Thus, we have,
Simplifying the expression, we have,
Multiplying the term within the bracket, we get,
Thus, the solution of the expression is
We have been given that population of Kings County, New York, has increased 0.53% each year, over several years. The population in 2000 was 2,465,326.
Formula to find population growth:
Now we will find expected population of year 2015 by substituting t=15 in our given formula.
Therefore, expected population in year 2015 will be 2668760.
The final velocity is 15.8 m/s in the forward direction
Step-by-step explanation:
An inelastic collision occurs when the two object after the collision stick together.
In any case, the total momentum of the system is conserved before and after the collision, in absence of external forces. Therefore, we can write:
where in this problem:
m = 1300 kg is the mass of the small sedan
u = 20 m/s is the initial velocity of the small sedan
M = 7100 kg is the mass of the truck
U = 15 m/s is the initial velocity of the truck
v is the final combined velocity of the small sedan + truck
Here we have taken both the velocity of the sedan and the truck in the positive (forward) direction
Solving the equation for v, we find the final velocity:
And since the sign is positive, this means that is direction is the same as the initial direction of the sedan and the truck, so forward.
Learn more about collisions:
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