A skateboarder travels on a horizontal surface with an initial velocity of 4.0 m/s toward the south and a constant acceleration of 1.8 m/s2 toward the east. Let the x direction be eastward and the y direction be northward, and let the skateboarder be at the origin at t=0.

a)What is her x position at t=0.60s?

b)What is her y position at t=0.60s?

c)What is her x velocity component at t=0.60s?

d)What is her y velocity component at t=0.60s?

Respuesta :

Answer:

a) 0.324 m

b) -2.4 m

c) 1.08 m/s

d) -4 m/s

Explanation:

Initial position [tex](x,y)=(0,0)[/tex]

Initial velocity [tex](u_x,u_y)=(0.0,-4.0)m/s[/tex]

Acceleration [tex](a_x,a_y)=(1.8,0.0)m/s^2[/tex]

We need to use the following equations of motion:

[tex]S=ut+\frac{1}{2}at^2[/tex]

[tex]v=u+at[/tex]

a) [tex]S_x=u_xt+\frac{1}{2}a_xt^2=(0)(0.6)+(0.5)(1.8)(0.6^2)=0.324m[/tex]

b) [tex]S_y=u_yt+\frac{1}{2}a_yt^2=(-4.0)(0.6)+(0.5)(0)(0.6^2)=-2.4m[/tex]

c) [tex]v_x=u_x+a_xt=0+(1.8)(0.6)=1.08m/s[/tex]

d) [tex]v_y=u_y+a_yt=-4.0+(0)(0.6)=-4m/s[/tex]