Question

The position of a particle is given by x= at +bt3

. Find the velocity of the body

At (a) t=0 s (b) t=3s.​

Answer 1

Answer:

x=at

2

−bt

3

⇒ Velocity =

dt

dx

=2at−3bt

2

Acceleration=

dt

2

d

2

x

=

dt

d

(2at−3b

2

)=2a−6bt

or a=2a−6bt

Making a=0

⇒2a=6bt

⇒t=dfrac2a6b=

3b

a

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