The velocity of a body as a function of time is V= t3 - 6t2 + 10t + 4. Set the accelerations of a body in increasing order at given times
a) t= 0 sec b) t= 1 sec c) t= 5 sec
1) b, a, c
2) a, b, c
3) c, b, a
4) c, a ,b
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2
Answer:
1
Explanation:
a=
dt
dV
=
dt
d
(t
3
−6t
2
+10t+4)=3t
2
−12t+10
a) a
(att=0)
=3(0)
2
−12(0)+10=10m/s
2
b) a
(att=1)
=3(1)
2
−12(1)+10=1m/s
2
c) a
(att=5)
=3(5)
2
−12(5)+10=25m/s
2
Therefore, the correct sequence is b < a < c.
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