Answer:
The data we have is:
The acceleration is 3.2 m/s^2 for 14 seconds
Initial velocity = 5.1 m/s
initial position = 0m
Then:
A(t) = 3.2m/s^2
To have the velocity, we integrate over time, and the constant of integration will be equal to the initial velocity.
V(t) = (3.2m/s^2)*t + 5.1 m/s
To have the position equation, we integrate again over time, and now the constant of integration will be the initial position (that is zero)
P(t) = (1/2)*(3.2 m/s^2)*t^2 + 5.1m/s*t
Now, the final position refers to the position when the car stops accelerating, this is at t = 14s.
P(14s) = (1/2)*(3.2 m/s^2)*(14s)^2 + 5.1m/s*14s = 385m
So the final position is 385 meters ahead the initial position.
Answer:
5 remainder 4
25/5=5 and you have 4 left
Step-by-step explanation:
Answer:
tan A = .3429
Step-by-step explanation:
Tangent = Opposite over Adjacent
The opposite of ∠A = 12 and the adjacent = 35
so tan A = 12/35 which equals .3428571492
The question asks us to round to four decimal places
Hence, the answer is .3429
Answer:
<A = 56degrees
<B = 34degrees
<C = 56degrees
Step-by-step explanation:
From tyhe diagram, the sum of m<C and m<D is 180degrees. Hence;
<C + <D = 180
<C + 124 = 180
<C = 180 - 124
<C = 56degrees
Also;
<B + 90 + <C = 180
<B + 90 + 56 = 180
<B + 146 = 180
<B = 180 - 146
<B = 34degrees
Similarly;
<A + <B = 90
<A + 34 = 90
<A = 90 - 34
<A = 56degrees
Answer:
The dimensions of the pool are:
Width: 8.944 feet
Length: 17.888 feet
Step-by-step explanation:
From Geometry, the area of a rectangle (
), measured in square feet, is determined by the following equations:
(1)
Where:
- Width, measured in feet.
- Length, measured in feet.
If we know that 
, 
and 
, then we get the following second order polynomial:
(1)
And we solve the expression for 
:
Then, the dimensions of the pool are, respectively:
and 
