1- Show that the equation d=vt2 dimensionally correct or not?
1 answer:
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The average velocity is -4.17 m/s
Explanation:
The average velocity of a body is given by:
where
d is the displacement of the body
t is the time elapsed
For the student in this problem, we have:
Initial position:
Final position:
So the displacement is
The time elapsed is
t = 60 s
Therefore, the average velocity is
Where the negative sign means the student is moving towards the origin.
Learn more about average speed and velocity:
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Answer:
a.
b.
Explanation:
<u>Given:</u>
- Velocity of the particle, v(t) = 3 cos(mt) = 3 cos (0.5t) .
The acceleration of the particle at a time is defined as the rate of change of velocity of the particle at that time.
At time t = 3 seconds,
<u>Note</u>:<em> The arguments of the sine is calculated in unit of radian and not in degree.</em>
<h2>(b):</h2>
The velocity of the particle at some is defined as the rate of change of the position of the particle.
For the time interval of 2 seconds,
The term of the left is the displacement of the particle in time interval of 2 seconds, therefore,
It is the displacement of the particle in 2 seconds.