6x2=12m
6x18=108
12m+108
Simplified: m+9 bc 12/12 and 108/12
A wave carries energy from a source to a point some distance away. A wave is reflected by a barrier. The reflected wave moves away from the barrier at an angle that is equal to the angle with which the incoming wave moved towards the barrier. When a wave is slowed down, it refracts—that is, changes direction.
1. 1.59 s
The period of a pendulum is given by:

where L is the length of the pendulum and g the gravitational acceleration.
In this problem,
L = 0.625 m
g = 9.81 m/s^2
Substituting into the equation, we find

2. 54,340 oscillations
The total number of seconds in a day is given by:

So in order to find the number of oscillations of the pendulum in one day, we just need to divide the total number of seconds per day by the period of one oscillation:

3. 0.842 m
We want to increase the period of the pendulum by 16%, so the new period must be

Now we can re-arrange the equation for the period of the pendulum, using T=1.84 s, to find the new length of the pendulum that is required to produce this value of the period:

Answer:

Explanation:
<u>Dot Product of Vectors
</u>
The dot product of two vectors is also known as scalar product. Given the vectors


The dot product is the sum of the products of each component separately


Kinematic equations are the equations that help to describe the motion of an object in constant acceleration. There are 4 of them and they are used in problems regarding motion when the variables are presented in them.
Ex:
Use V=Vo + at if you need to find velocity, and acceleration, time, and Vo are given to you