BC Quiz ON Related Rates

Rachel is standing atop a 13 ft ladder. The ladder is leaning against a vertical wall. The ladder starts sliding away from the wall at a rate of 3 ft/sec. How fast is the ladder sliding down the wall when the tip of the ladder is 5 ft high?

• 3 ft/sec
• -7.2 ft/sec
• 7.2 ft/sec
• 12

A water tank, shaped like an inverted circular cone, has a base radius of 6 ft and a height of 9 ft. The tank is completely full and needs to be drained. The valve is opened and the water begins to decrease at a rate of 2 ft³/sec.  How fast is the radius changing when the water is 2 ft deep?

• 4/(3pi) ft/sec
• 3/(4pi)ft/sec
• -3/(4pi) ft/sec
• -4/(3pi) ft/sec

Devin set up a toy rocket. For safety, he stands 6 meters from the rocket. He sets off the rocket and it heads straight up at a constant rate of 4 m/s.  How fast is the distance between the rocket and Devin changing after 2s?

• -2.5 m/s
• 2.5 m/s
• 3.2 m/s
• -3.2 m/s

Oil spilling from a ruptured tanker spreads in a circle on the surface of the ocean. The radius of the spill increases at a rate of 5 m/min. How fast is the area of the spill increasing when the radius is 5 m?

• 50π m²/min

• 47π m²/min

• 52π m²/min

• 40π m²/min

A construction worker pulls a five meter plank up the side of a building under construction by means of a rope tied to one end of the plank.  Assume the opposite end of the plank follows a path perpendicular to the wall of the building and the worker pulls the rope at a rate of .15 meters per second.  How fast is the end of the plank sliding along the ground when when it is 2.5 meters from the wall of the building?

Tags

CCSS.HSG.SRT.C.8

A boat is being pulled into dock by means of a winch 12 feet above the deck of the boat. The winch pulls in rope at a rate of 4 feet per second. Determine the speed of the boat when there is 13 feet of rope out.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

How many months have 28 days in them?

• 1

• 12

• 5

• 9

What color are aircraft black boxes?

• bright orange

• midnight blue

• black

• construction yellow

What is Simba's mother's name in The Lion King?

• Sarabi

• Nala

• Pumba

• Beyonce

Tags

CCSS.RL.2.6

CCSS.RL.8.3

A tank is in the form of an inverted cone having an altitude of 10 ft and a radius of 5 feet. Water is flowing into the tank at the rate of 1 ft³/min. How fast is the water level rising when the water is 3 ft deep?

• 3.4 ft/min
• .14 ft/min
• 1 ft/min
• 1/2  ft/min