A charter boat travels across a lake in a straight line and increases in speed uniformly from vi = 16.5 m/s to vf = 40.0 m/s in a displacement Δx of 215 m. We wish to find the time interval required for the boat to move through this displacement.

a. Draw a coordinate system for this situation.
b. Whatanalysis model is most appropriate for describing this situation?
c. From the analysis model, what equation is most appropriate for finding the acceleration of the speedboat?
d. Solve the equation selected in part (c) symbolically for the boat’s acceleration in terms of vi , vf , and Δx.
e. Substitute numerical values to obtain the acceleration numerically.
f. Find the time interval mentioned above.

7,24

step-by-step explanation:

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

step-by-step explanation:

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