An automobile slows from 26 m/s to 18 m/s. Its acceleration is
-2.0 m/s2. How much time does it take for the vehicle to
slow down?

Respuesta :

Given:-

Initial velocity,u = 26 m/s

Final velocity,v = 18 m/s

Acceleration,a = -2 m/s²

To be calculated:-

Calculate the time take by a body.

Solution:-

According to the first equation of motion:

[tex] \bf \: v = u + at[/tex]

★ Substituting the values in the above formula,we get:

[tex] \sf\implies18 = 26 + ( - 2) \times t[/tex]

[tex] \sf \implies18 = 26 - 2t[/tex]

[tex] \sf \implies \: 2t = 26 - 18[/tex]

[tex] \sf \implies \: 2t = 8[/tex]

[tex] \sf \implies \: t = \cancel\dfrac{8}{2} [/tex]

[tex] \sf \implies \: t = 4 \: sec[/tex]