Body Velocity and Position on X-Axis at a Given Moment

[mike32]

Homework Statement

A body moves in a straight line along the x-axis. Its expansion as a function of time is:

Given that at the moment t = 0 its speed was v0 in the positive direction of the x axis, and its position was at x0.

1. the body velocity in meters per second has a given moment t0?

2. What is a body position on the x-axis in meters include a given moment (t=t0)?

Homework Equations

k = 24 m sec-3
b = 12 m sec-2
v0 = 3 m sec-1
x0 = 2 m
t0 = 5 sec

The Attempt at a Solution

Made with integral limit t-t ,Got 240 speed and location 1200 , And this error

 

[kuruman]

Made with integral limit t-t ,Got 240 speed and location 1200 , And this error

Can you show the details of how you did the integrals?

 

[haruspex]

Made with integral limit t-t ,Got 240 speed and location 1200 , And this error

The "relevant equations" are supposed to be general physics equations that you feel may apply to the problem, not facts specific to the question.
An example here might be $\Delta v=\int _{t_i}^{t_f}\ddot x.dt$. In that equation, what does Δv represent?

 

[mike32]

Δv=∫tfti¨x.dtΔv=∫titfx¨.dt\Delta v=\int _{t_i}^{t_f}\ddot x.dt.

speed

 

[haruspex]

speed

Not exact enough. What is the Δ there for?