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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


Question ID - 153876 | Toppr Answer

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

Answer Key : (3) -

(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



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