Question

a particle moves in a straight line and its speed depends on time as v=|2t-3|. integration of vdt represents the distance travelled of the particle then find the displacement of the particle in 5sec

Answer 1

The function given in your question is an absolute function and hence to integrate it , the function has to be splited into two parts in the limit range.

First part - For which the value offunction is negative which in our case in the range 0 to 3/2 , but we know displacement is never negative , therefore we neglect the range of the limit

Second part - For which value of function is positive which in our case is 3/2 to 5

Now, performing the required integration we have,

x =

Answer 2

Answer:

14.5 metres

Explanation:

see the attached document