49.An object accelerates from rest to a speed of 24 m/s over a distance of 56 m. What
acceleration did it experience?

Respuesta :

Given:

Initial velocity,u = 0 m/s

Final velocity,v = 24 m/s

Distance covered,s = 56 m

To be calculated:-

Calculate the acceleration ( a ) .

Solution:-

According to the third equation of motion,

[tex] \bf \: {v}^{2} = {u}^{2} + 2as[/tex]

★ Substituting the values in the third equation of motion:

[tex] \sf \implies \: {(24)}^{2} = {(0)}^{2} + 2 \times a \times 56[/tex]

[tex] \sf \implies \: 576 = 112a[/tex]

[tex] \sf \implies \: a = \dfrac{576}{112} [/tex]

[tex] \sf\implies \: a = 5.14 \: m {s}^{ - 2} [/tex]