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28. A car with an initial velocity of 24.5 m/s east has an
acceleration of 4.2 m/s2 west. What is its displacement
at the moment that its velocity is 18.3 m/s east?

Respuesta :

onyebuchinnaji

The displacement of the car after the given final velocity is 31.59 m.

The given parameters;

  • Initial velocity of the car, u = 24.5 m/s east
  • Final velocity of the car, v = 18.3 m/s east
  • Acceleration of the car, a = 4.2 m/s²

The displacement of the car after the given final velocity is obtained by applying the third kinematic equation as shown below;

v² = u² + 2as

[tex]s = \frac{v^2 - u^2}{2a} \\\\s = \frac{(18.3)^2 - (24.5)^2}{2(-4.2)} \\\\s = 31.59 \ m[/tex]

Thus, the displacement of the car after the given final velocity is 31.59 m.

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