A particle moves vertically with an upward initial speed $v_{0} = 10.5 m / s$ . If its acceleration varies with time as shown in $a - t$ graph in the figure, find the velocity of the particle at $t = 4 s$

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Δ v = A re a u n d er a − t c u r v e = 5 + 5 6 ​ − 10 3 ​ − 10 = − 7.5 x = 3 1 ​ (from similar triangles) v 4 ​ = v 0 ​ + Δ v = 10.5 − 7.5 v 4 ​ = 3 m / s

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