Question

1. The position of a particle moving along a coordinate axis is given by: s(t) = t^2 - 5t + 1. a) Find the speed of the particle b) Find the acceleration of the particle c) Find the velocity of the particle

Answer 1

Answer:
`\left | 2t-5\right |,\ 2,\ 2t-5`

Explanation:

Given

Position of the particle moving along the coordinate axis is given by

`s(t)=t^2-5t+1`

Speed of the particle is given by

`\Rightarrow v=(ds)/(dt)\\\\\Rightarrow v=(d(t^2-5t+1))/(dt)\\\\\Rightarrow v=\left | 2t-5\right |`

Acceleration of the particle is

`\Rightarrow a=(dv)/(dt)\\\\\Rightarrow a=2`

velocity can be negative, but speed cannot

`\Rightarrow v=(ds)/(dt)\\\\\Rightarrow v=(d(t^2-5t+1))/(dt)\\\\\Rightarrow v=2t-5`