Answer:
1) The velocity at this time is of meters per second.
2) The velocity at this time is of meters per second.
Step-by-step explanation:
This question involves concepts of derivatives.
The velocity is the derivative of the position.
We use these following derivatives:
1) s = 1 + 9(cos t)
Find the body's speed at time t=pi/3 sec.
We have to find the derivative at . So
is a common angle, which has a sine of . So
The velocity at this time is of meters per second.
2) s = 12(sin t) - (cos t)
Find the body's velocity at time t=pi/4 sec.
We have to find the derivative at . So
is a common angle, which has both sine and cosine of . So
The velocity at this time is of meters per second.