Unit 4 Test Practice

The graph shows the velocity of a body moving along a coordinate line in meters per second. When does the body reverse direction?

• t = 2, 6, 7

• t = 4, 8

• t = 3, -3

• t = 0, 9

Tags

CCSS.8.EE.B.5

The figure shows the velocity of a body moving along a coordinate line in meters per second.

When is the body moving at a constant speed?

• (0,2)

• (2,6)

• (6,7)

• (7,8)

• (8,9)

Tags

CCSS.HSF.IF.B.4

The figure shows the velocity of a body moving along a coordinate line in meters per second. What is the body's maximum speed? ____ m/s (don't include the units, number only)

The figure shows the velocity of a body moving along a coordinate line in meters per second. At what time interval(s) is the body slowing down?

• (6,7)

• (0,2) & (4,6) & (8,9)

• (0,1) & (7,8) & (8,9)

• (2,4) & (7,8)

Tags

CCSS.HSF.IF.B.4

Calculator permitted.

Mr Wong is riding his bicycle north away from an intersection at a rate of 15 miles per hour. Ms K is driving her car towards the intersection from the West at a rate of 30 miles per hour. If Mr Wong is 0.4 miles from the intersection, and Ms K is 1 mile from the intersection, at what rate is the distance between the two of them changing (rounded, not truncated, to 3 decimal places with the correct sign and no units)?

Mathematical Equivalence

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A ladder is 10 meters long and is leaning against a wall. If the bottom of the ladder is sliding away from the wall at a rate of 2 m/s, how fast is the top of the ladder sliding down the wall when the bottom of the ladder is 6 meters from the wall?

• The top of the ladder is sliding down the wall at a rate of 1.2 m/s.

• The top of the ladder is sliding down the wall at a rate of 3 m/s.

• The top of the ladder is not moving.

• The top of the ladder is sliding up the wall at a rate of 1.2 m/s.

A cylindrical tank with radius 5 meters is being filled with water at a constant rate of 3 cubic meters per minute. How fast is the height of the water increasing when the water is 4 meters deep?

• The height of the water is increasing at a rate of 0.06 meters per minute when the water is 4 meters deep.

• The height of the water is increasing at a rate of 0.1 meters per minute when the water is 4 meters deep.

• The height of the water is increasing at a rate of 0.5 meters per minute when the water is 4 meters deep.

• The height of the water is increasing at a rate of 0.03 meters per minute when the water is 4 meters deep.