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?