Answer:
Yes a^2mn
Step-by-step explanation:
You do this by multiplication.
As the fellow above said, the particle does make a U-turn at the vertex, and we can find that out by getting the derivative of s(t) and zeroing it out to get the point of the horizontal tangent.
Bearing in mind that ds/dt is really v(t) or the velocity equation, so when we zero out the ds/dt, is the same as saying the velocity went to 0, since it got zeroed out, and then the particle goes over the vertex and changes direction.

the negative acceleration value, simply means a decreasing rate of change, so, it means the particle is slowing down and possibly coming to a stop before changing direction again.
Answer:
7.21 units
Step-by-step explanation:
The shortest length needed to connect the house to the existing pipeline is the perpendicular distance between the location of the house (2,9) and the line y = 2/3x - 1.
The perpendicular distance (d) between a point (
) and the line Ax + By + C = 0 is given as:

The line is given by y = 2/3 x - 1; 2/3x - y - 1 = 0. The point = (2, 9)
hence A = 2/3, B = -1, C = -1,
. Therefore:

Answer:
3.7m/s^2
Step-by-step explanation:
T is given as 3.27 seconds
L= 1m
we have to find g just put values in given formula
3.27s=2pi(sqrt(1m/g))
3.27s/2pi=(sqrt(1m/g))
0.520s=(sqrt(1m/g))
Taking square on both side to eliminate square root
0.27085s^2=1m/g
Multiply with g on both sides
0.27085 s^2*g=1m
Divide both sides with 0.27085
g=1m/0.27085s^2
g=3.7m/s^2