a. The particle has position vector


b. Its velocity vector is equal to the derivative of its position vector:

c. At
, the particle has position


That is, it's 56.0 m to the right and 49.0 m up relative to the origin, a total distance of
away from the origin in a direction of
relative to the positive
axis.
d. The speed of the particle at
is the magnitude of the velocity at this time:


Then its speed at this time is

The intensity of the sound wave is defined as the ratio between the power of the wave and the area through which the wave passes:

where
I is the intensity
P is the power
A is the area
If we use the data of the problem,

and

, we find the intensity of the sound wave:
Answer:
56°
Explanation:
Brewsters angle can be simply derived from
n1sin theta1= n2sintheta2= n2costheta1
because the reflected light will be 100% polarized if it is reflected at an angle 90o to the refracted light. Hence, Brewsters angle is
Tan theta= n2/n1
1.66/1.11= 1.495
Theta = 56°
Explanation:
Answer:
The average linear velocity (inches/second) of the golf club is 136.01 inches/second
Explanation:
Given;
length of the club, L = 29 inches
rotation angle, θ = 215⁰
time of motion, t = 0.8 s
The angular speed of the club is calculated as follows;

The average linear velocity (inches/second) of the golf club is calculated as;
v = ωr
v = 4.69 rad/s x 29 inches
v = 136.01 inches/second
Therefore, the average linear velocity (inches/second) of the golf club is 136.01 inches/second
Answer:
The answer is below
Explanation:
Charles law states that the volume and temperature of a fixed amount of a gas is directly proportional to each other provided that pressure is held constant.
Boyle's law states that the volume and pressure of a fixed amount of a gas are inversely proportional to each other provided that temperature is held constant.
a) Constant property:
In Charles law, pressure is kept constant while in Boyle's law, temperature is held constant.
b) Varying properties:
In Charles law, volume and temperature are varying while in Boyle's law, pressure and volume are varying.
c) Type of variance:
In Charles law we have a direct variance while in Boyle's law we have an indirect variance.
d) Charles law is given as:

Boyle's law is given as: