Answer:A).3.16 s B).56.92
A).12.5m/s
B).7.81m
Explanation:
Answer:
Option D
2 m/s
Explanation:
The speed is given by distance/time
The complete wave has a distance of 8 m (This is the wavelength)
Time taken for complete wave is 4 s
Therefore, velocity= 8 m/ 4 s= 2 m/s
The amplitude is the distance between crest and trough hence 9 m- 6 m= 3 m
Frequency is 1/period and in this case period is 4 s hence frequency= 1/4= 0.25 Hz
Essentially, what we wanted is velocity
Answer:
68.9233231661
Explanation:
Just put it into your calculator, shift sin should do it but it will come up like this: 
which is the same as arcsin
Answer:
a) No difference
Explanation:
Since the billiard balls are identical , they have the same mass. Also they have the same speed
Since the angular momentum is conserved and the total energy is conserved ( if we assume elastic collision)
1/2 m1 * v i1² +1/2 m2 * v i1² = 1/2 m1 * v f1² +1/2 m2 * v f2²
where m= mass , vi= initial velocity , vf= final velocity
since m1=m2=m , vi1=vi2=vi
1/2 m1 * v i1² +1/2 m2 * v i1² = 1/2 m1 * v f1² +1/2 m2 * v f2²
m * v i² = 1/2 m (v f1² +v f2² )
vi² = 1/2(v f1² +v f2² )
since the 2 balls are indistinguishable from each other (they have identical initial mass and velocity) there is no reason for a preferential speed for one of the balls and therefore its velocities must be equal . Thus vf1=vf2=vf
therefore
v i² = 1/2(v f1² +v f2² ) = v i1² = 1/2* 2vf² = vf²
and thus
vi= vf
in conclusion, there is no difference in speed after the rebound
Answer:
The answer is "Walk three days a week, gradually adding distance and hills."
Explanation:
The FITT Principle <u>guides a person in becoming a fitter version of himself by following a particular frequency, intensity, time and type of exercise in order to achieve his goals.</u>
<u>Frequency</u>- this refers to how often a person should do an exercise. For example, 5 times a week of intense core workout.
<u>Intensity</u>- this refers to the person's vigour or strength in doing the workout. This depends whether the person is doing a high-intensity or a low-intensity exercise.
<u>Time</u>- this refers to the length of a person's exercise. This will largely depend on every individual's fitness level.
<u>Type of Exercise</u>- this refers to the exercise that a person should incorporate in his training<u> in order to avoid injuries of using the same muscles over and over again.</u>
Among the choices above, it is only the second choice (Walk three days a week, gradually adding distance and hills) that follows the FITT principle. Walking shouldn't be kept at the same pace and distance for many weeks, since it results to<em> boredom and overuse injuries. </em>This will also lead to a plateau when it comes to people who are trying to lose weight because the body has already well-adjusted to the exercise and cannot be challenged anymore.
<em>Gradually increasing the distance and hills will allow the person to be more challenged </em>and<em> </em>will also increase his desire to workout (because he is seeing results).
