Question

plz tell answer with correct explanation ​

Answer 1

• whenever the graph is given ...try to something with its area or slope...you'll get the answer
• use general intregation methods
• careful slope is negative here...

$slope \: of \: straight \: line \: is \: y = mx + c \\ a = - \frac{8}{8} t \: + 8 \\ a = - t + 8 \\ \ \: \frac{dv}{dt} = 8 - t \\ \: \: \: \: \: \: \: \: \: \: dv = 8dt - tdt \\ \: \: v - 3 = 8t - \frac{ {t}^{2} }{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: v - 3 = (8 \times 4) - \frac{4 \times 4}{2} \\ v - 3 = 32 - 8 \\ \: \: \: \: \: v = 27 \frac{m}{s}$

hope it helps..

Good luck ♧♧