2. Great Race (7 points) Thomas the Train is traveling down a straig ht track an

Question

2. Great Race (7 points) Thomas the Train is traveling down a straig ht track and meets his friend, Bertie the Bus, who is driving on a road parallel to the track. They decide to race to In dmouth. On the graph below, Bertie's position is shown by a dotted line and Thomas' by a solid line. The positive x- direction is chosen to be the direction they are traveling. Seven particular times are labeled A-G. At the level crossing, the road crosses the tracks. When (at time B) Bertie arrives there, he has to stop and wait for Thomas to pass. Then, when Thomas arrives at Knapford station (at time E), he has to stop to load and unload passengers. Thomas finally arrives at Tidmouth at time G. (a) (I point) Who wins the race (i.e. reaches Tidmouth first), Thomas or Bertie, or is it a tie? (b) (I point) At time A, whose velocity is larger, Thomas', Bertie's, or are their velocities equal? (c) (1 point) At time C, whose acceleration is larger, Thomas, Bertie, or are their accelerations equal? (d) (I point) At time D, is Thomas' velocity positive, negative, or zero? (e) (1 point) For the interval of time between C and G, is Berties' displacement positive, negative, or zero? (D (1 point) For the interval of time between B and C, is Bertie's average velocity positive, negative, or zero? (g) (1 point) For the interval of time between D and F, is the Thomas' average acceleration positive, negative, or zero? Position x Tidmouth Thomas Knapford Bertie Level Crossing A BC DEF G

Explanation / Answer

a) Both the Thomas the train and the Bertie the bus travel from the starting point to Tidmouth at a same time. hence they are tie.

b) At 'A' Bertie velocity is larger.

c) At 'C' both Thomas and Bertie have equal acceleration.

d) At 'D' Thomas velocity is positive.

e) For the interval of time between C and G Bertie's displacement is positive.

f) For the interval of time between B and C Bertie's average velocity is positive.

g) For the inerval of time between D and F Thomas average acceleration is positive in the beginning but decreases , equals zero and becomes negative.

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