NDMC Accumulation

(format: print grade-specific pages & set print layout 4 [or 2] pages per

sheet)

1. Shown below are graphs of the velocity of two fish as a function of time. Both Fish A and Fish B start at position 0 meters and move for 11 seconds. Which of the following is/are true?:

I The mean velocity of Fish A is greater than the mean velocity of Fish B

J The final position of Fish A is less than the final position of Fish B

K The maximum speed of of Fish B is greater than the maximum speed of Fish A

L At time = 3 seconds, the velocity of Fish A is greater than the velocity of Fish B

This question may have more than one correct answer. Select all correct responses.

(A)

(B)

(A)

(B)

2. At time = 0 seconds Fish Q and Fish R are in the same position and move as shown by the respective velocity graphs. At time = 5 seconds the fish are 7 meters apart. Starting with the same initial positions, which of the following velocity graphs also would result in the fish being 7 meters apart at time = 5 seconds?

A

B

C

D

This question may have more than one correct answer. Select all correct responses.

(R)

(Q)

(R)

(Q)

Give a starting position for a fish and then draw a graph that would move from this position and end up a 7 meters. You must use motions in both the positive (to the right) and the negative (to the left) directions.

Initial Position of Fish: ______

3.

Give a starting position for a fish and then draw a graph that would move from this position and end up a 7 meters. You must use motions in both the positive (to the right) and the negative (to the left) directions. You must also use at least one linear velocity segment.

Initial Position of Fish: ______

4.

Blanks or templates follow

9. A polygon EFGH is inscribed in a rectangle ABCD. By moving only the points E, F, G and H, along the sides of the square, which of the following could be made true.

A The perimeter ofABCD is greater thanthe perimeter of EFGH

B The perimeter ofABCD is less thanthe perimeter of EFGH

C The perimeter ofABCD is equal tothe perimeter of EFGH

D The perimeter ofof EFGH is close to

zero.

This question may have more than one correct answer. Select all correct responses.

9. A polygon EFGH is inscribed in a rectangle ABCD. By moving only the points E, F, G and H, along the sides of the square, which of the following could be made true.

A The perimeter ofABCD is greater thanthe perimeter of EFGH

B The perimeter ofABCD is less thanthe perimeter of EFGH

C The perimeter ofABCD is equal tothe perimeter of EFGH

D The perimeter ofof EFGH is close to

zero.

This question may have more than one correct answer. Select all correct responses.

10.The food used to feed 20 people is shown. An employee of a food service is asked to estimate the amounts needed for other groups wanting the same kinds of food. Which of the following is a reasonable estimate of the food needed?

This question may have more than one correct answer. Select all correct responses.

FoodPizza

WaterCarrots

Nuts

Fruit

Amount

3 large8 liters

5 kg1.2 kg6 kg

Food for 20

A B C D