A hare can run at a rate of 15 m/s, while a turbocharged tortoise can now crawl at a rate of 3 m/s, how much of a head-start (time-wise) does the tortoise need in order to tie the hare in a 250 meter race? A.
16.7 seconds

B.
66.7 seconds

C.
83.3 seconds

D.
100 seconds

t = 66.7 s

Explanation:

Given that,

Speed of a hare, v = 15 m/s

Speed of a turbocharged tortoise, v' = 3 m/s

The hare in a 250 meter race

Let the Hare takes time t. It can be calculated as follows :

Let a turbocharged tortoise takes t'. It can be calulated as follows :

To tie the race, required time is given by :

Hence, the correct option is (b) i.e. 66.7 seconds.

answer; (d) spontaneous processes are characterized by the overall conversion of order to disorder;

answer would be letter choice (a),   a ball resting on a shelf. would be another example of potential energy   >   stored energy > not moving.

a ball spinning on a finger   >   kinetic energy > moving energy

a ball rolling on the ground   >   kinetic energy   > moving energy

a   ball flying through the air   > kinetic energy   >   moving energy

hope that                                         : )