If a position of a particle at instant t is given by x is equal to 3 T square find the velocity and acceleration of the particle
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Answer:
We have x(t)=4t
3
−3t
2
+2
⇒v=
dt
dx
=12t
2
−6t
and a=
dt
dv
=24t−6
∴v at t=2s is 12(2)
2
−6(2) i.e., 36ms
−1
and a at t=2s is 24×2−6 i.e., 42ms
−2
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