If the velocity of a particle is
v = At + Bt², where A and B are constants, then calculate the distance travelled by it in 1 second.
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1
Answer:
We know that v=
dt
dS
Integrating, S=∫
t=1
t=2
vdt=∫
1
2
(At+Bt
2
)dt=A/2(2
2
−1)+B/3(2
3
−1)=
2
3
A+
3
7
B
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