A particle moves vertically with an upward initial speed m/s. If its acceleration varies with time as shown in graph in the figure, find the velocity of the particle at s

A particle moves vertically with an upward initial speed m/s. If its acceleration varies with time as shown in graph in the figure, find the velocity of the particle at s

1 Answer - 5876 Votes

3537

**(3)**

The velocity of the particle at s can be given as

…(i)

Where are under ) graph during first 4 s)

Referring to graph (shown in the figure), we have

…(ii)

Where

and

We can find the value of as follows:

Using properties of similar triangles, we have

This yields

Substituting in and , we have

and

Then substituting and in Eq. (ii), we have and

Hence, we have