A train moves as follows:

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A train moves as follows: (i) travels with constant velocity

20\,\text{m/s}

for

15\,\text{s}

, (ii) then slows down uniformly to

10\,\text{m/s}

in the next

5\,\text{s}

, (iii) finally accelerates uniformly to

25\,\text{m/s}

in the next

10\,\text{s}

. Calculate the total displacement of the train during the entire

30\,\text{s}

. (a)

600\,\text{m}

(b)

500\,\text{m}

(c)

550\,\text{m}

(d)

575\,\text{m}