Hare and Tortoise Race Analysis

The video tutorial discusses a race between a tortoise and a hare, focusing on their positions as functions of time. The tortoise moves at a constant rate of 5 feet per second, while the hare runs fast initially but stops after 5 seconds. The tutorial analyzes the rate of change for both animals, concluding that the tortoise wins the race by reaching 100 feet in 20 seconds, while the hare remains at 90 feet.

What are T(t) and H(t) used to represent in the race?

• The time taken by the tortoise and hare to finish the race

• The distance between the tortoise and hare

• The positions of the tortoise and hare over time

• The speed of the tortoise and hare

What is the rate of change of the tortoise's position?

• 3 feet per second

• 5 feet per second

• 10 feet per second

• 7 feet per second

How does the tortoise's speed compare throughout the race?

• It increases gradually

• It fluctuates randomly

• It decreases gradually

• It remains constant

What happens to the hare after the first 5 seconds?

• It stops moving

• It speeds up

• It slows down

• It moves backward

What is the hare's speed during the first 5 seconds?

• 10 feet per second

• 15 feet per second

• 18 feet per second

• 20 feet per second

How far does the hare travel in the first 5 seconds?

• 100 feet

• 50 feet

• 90 feet

• 70 feet

Which statement is true about the hare's movement after 5 seconds?

• The hare continues to move at 18 feet per second

• The hare remains stationary

• The hare moves backward

• The hare accelerates

Who wins the race?

• Neither finishes the race

• Both finish at the same time

• The tortoise

• The hare

At what time does the tortoise reach the 100-foot mark?

• 15 seconds

• 25 seconds

• 18 seconds

• 20 seconds

What is the hare doing at the end of the race?

• Running back to the start

• Resting at the 90-foot mark

• Chasing the tortoise

• Crossing the finish line