A weight is hung from a spring and set in motion so that it moves up and down continuously. The velocity v of the weight at any
1 answer:
Answer:
0.25s
Step-by-step explanation:
As v = 1.5 cos(4πt), v is maximum when cos(4πt) is maximum = 1. So the maximum velocity would be 1.5 m/s
Both the lowest and highest position occurs when its derivative is 0, aka v = 0 and has a change of direction
1.5 cos(4πt) = 0
cos(4πt) = 0
4πt = π/2 and 4πt = 3π/2
t = 1/8 = 0.125s and t = 3/8 = 0.375s
So the time it takes to travels from 1 point of time (0.125s) to another point of time (0.375) is
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Mr. Mole's burrow was at an altitude of 6 meters below the ground.
Step-by-step explanation:
Step 1:
We need to determine the distance that Mr. Mole covers in a single minute.
To do that we divide the difference in values of altitude by the difference in the time periods.
For the first case, Mr. Mole had traveled -18 meters in 5 minutes.
We also have, he traveled -25.2 meters in 8 minutes.
Step 2:
The distance he covered in 1 minute
So with every minute, Mr. Mole digs down an additional 2.4 meters below the surface.
To determine where Mr. Mole's burrow is we subtract the distance traveled in 5 minutes from -18.
The altitude of Mr. Mole's burrow
So Mr. Mole's burrow was at an altitude of 6 meters below the ground i.e. -6 meters.