Question

A tortoise and hare start from rest and have a race. As the
race begins, both accelerate forward. The hare accelerates
uniformly at a rate of 1.5 m/s2 for 4.2 seconds. It then continues
at a constant speed for 12.4 seconds, before getting tired and
slowing down with constant acceleration coming to rest 108 meters
from where it started. The tortoise accelerates uniformly for the
entire distance, finally catching the hare just as the hare comes
to a stop.

1)

How fast is the hare going 2.1 seconds after it starts?

2)

How fast is the hare going 8.3 seconds after it starts?

3)

How far does the hare travel before it begins to slow
down?

4)

What is the acceleration of the hare once it begins to slow
down?

5)

What is the total time the hare is moving?

6)

What is the acceleration of the tortoise?

Answer #1

A tortoise and hare start from rest and have a race. As the race
begins, both accelerate forward. The hare accelerates uniformly at
a rate of 0.8 m/s2 for 4.4 seconds. It then continues at
a constant speed for 13.5 seconds, before getting tired and slowing
down with constant acceleration coming to rest 61 meters from where
it started. The tortoise accelerates uniformly for the entire
distance, finally catching the hare just as the hare comes to a
stop.
How...

A tortoise and hare start from rest and have a race. As the race
begins, both accelerate forward. The hare accelerates uniformly at
a rate of 1.3 m/s2 for 4.7 seconds. It then continues at a constant
speed for 13.3 seconds, before getting tired and slowing down with
constant acceleration coming to rest 114 meters from where it
started. The tortoise accelerates uniformly for the entire
distance, finally catching the hare just as the hare comes to a
stop. 1)...

A tortoise and hare start from rest and have a race. As the race
begins, both accelerate forward. The hare accelerates uniformly at
a rate of 0.8 m/s2 for 4.4 seconds. It then continues at
a constant speed for 13.5 seconds, before getting tired and slowing
down with constant acceleration coming to rest 61 meters from where
it started. The tortoise accelerates uniformly for the entire
distance, finally catching the hare just as the hare comes to a
stop.
1.What...

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such that the car’s speed decreases uniformly coming to rest 361.87
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turns green, both cars accelerate forward. The blue car accelerates
uniformly at a rate of 5.7 m/s2 for 3.1 seconds. It then
continues at a constant speed for 8.4 seconds, before applying the
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202 meters from where it started. The yellow car accelerates
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A cat and a dog both start from rest and run with the same
constant acceleration. The cat accelerates for 5 feet before it
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Two cars start from rest at a red stop light. When the light
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the race?

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