Question

If the velocity of abody is given by v=3t²+4t+5 m/s.Find it's displacement in 2 seconds.​

Answer 1

Answer:

26 metres

Explanation:

s=integral v

=t^3+2t^2+5t

=8+8+10

=26

Answer 2

Answer:

26 m

Explanation:

$\int\limits^2_0 {v} \, dt =\int\limits^2_0 {3t^{2}+4t+5 } \, dt = [t^{3}+2t^{2}+5t]_{0} ^{2}$

$=2^{3}+2(2^{2})+5(2) - 0\\=8+8+10\\=26m$