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At t = 0 the components of a radio-controlled car's velocity are vx = 0.5 m/s and vy = 1.2 m/s. Find the components of the car's velocity at t = 2.6 s, given that the components of its average acceleration during this period are ax = 2 m/s2 and ay = -1 m/s2.

Respuesta :

Answer:

x-component of velocity = 5.7 m/s

y-component of velocity = -1.4 m/s          

Explanation:

Use first equation of motion to find components of velocity at a given time:

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

where, [tex]v[/tex] is  the final velocity, [tex]u[/tex] is the initial velocity, [tex]a[/tex] is the acceleration and [tex]t[/tex] is the time.

Given:

[tex]u_x= 0.5 m/s\\u_y=1.2 m/s\\a_x=2 m/s^2\\a_y=-1m/s^2\\t = (2.6-0)s =2.6 s[/tex]

[tex]v_x=u_x+a_xt\\\Rightarrow v_x=0.5+2\times 2.6\\\Rightarrow v_x=5.7 m/s[/tex]

[tex]v_y=u_y+a_yt\\\Rightarrow v_y=1.2-1\times 2.6\\\Rightarrow v_y=-1.4 m/s[/tex]

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