# Variable acceleration?

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The velocity v ms-1 of a particle after t seconds is given by v=tâˆ’3t2

The initial displacement of the particle from the origin is 3m.

The displacement of the particle from the origin after 5 seconds is ____m

The velocity v ms-1 of a particle after t seconds is given by v=tâˆ’3t2

The initial displacement of the particle from the origin is 3m.

The displacement of the particle from the origin after 5 seconds is ____m

##### 2 Answers

#### Explanation:

We know that

where

Integrating:

We are told that

Evaluate at

the displacement of the particle after 5 seconds is

#### Explanation:

Substitute t=5sec

Hence, the displacement of the particle after 5 seconds is