An object (moving man) starts from rest and accelerates at a rate of 4.3m/s2 for 2.05 seconds. What is his displacement from the start position

Respuesta :

We use the kinematic equation of motion,

[tex]s= ut + \frac{1}{2} a t^2[/tex]

Here, s is displacement, u is initial velocity, a is acceleration and t is time.

Given [tex]a = 4.3 \ m/s^2[/tex] , [tex]t =2.05 s[/tex] .

We take, [tex]u = 0[/tex] because object starts from rest.

Substituting these values in above equation, we get

[tex]s = 0 \times 2.05 \ s + \frac{1}{2} (4.3 \ m/s^2)(2.05 \ s)^2 \\\\ s = 9.0 \ m.[/tex]

Therefore, displacement of object from starting position is 9 m.