Question

If the position of a particle on the x-axis at time t is −5t2, then the average velocity of the particle for 0 ≤ t ≤ 3 is

Answer 1

Answer:

v = 15 m / s

Explanation:

In this exercise we are given the position function

          x = 5 t²

and we are asked for the average velocity in an interval between t = 0 and t= 3 s, which is defined by the displacement between the time interval

          $v= \frac{v_{f} - v_{o} }{t_{f} - t_{o} }$

let's look for the displacements

        t = 0     x₀ = 0 m

        t = 3     $x_{f}$ = 5 3 2

                     x_{f} = 45 m

 

we substitute

           $v = \frac{45 -0}{3 - 0}$

           v = 15 m / s