v-t graph of two train

2015-04-28 4:24 pm
The v-t graph of a train travelling between two stations along a straight line.

a. What si the distnace between the stations ?
b. When is the train midway between the stations ?
c. Find the average velocity of the train for this journey ?

My answer
a). 1/2 (20 x 35) + 20 x (100 - 35) + 1/2 (20 x 40)) = 2050 m
b). ??
c). 2050 / 140 = 14.64 m/s

Any comment ?

Tks

回答 (1)

2015-04-28 7:16 pm
✔ 最佳答案
(a) Correct.

(b) Let t be the time when the train is mid-way between the stations.
Distance travelled at t = 2050/2 m = 1025 m

Hence, 1025 = (1/2) x (20 x 35) + (t -35) x 20
i.e. 1025 = 350 + 20t - 700
t = (1025 - 350 + 700)/20 s = 68.75 s

(c) Correct.


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