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A tailback initially running at a velocity of 5.0 m/s becomes very tired and slows down at a uniform rate of 0.25 m/s^2. How fast will he be running after going an additional 10 meters?

Respuesta :

onyebuchinnaji

The final velocity of the tailback after traveling an additional 10 m is 5.48 m/s.

The given parameters;

  • initial velocity of the tailback, u = 5 m/s
  • acceleration of the tailback, a = 0.25 m/s²
  • distance traveled, s = 10 m

The final velocity of the tailback is calculated by applying the third kinematic equation;

v² = u² + 2as

where;

v is the final velocity of the tailback

v² = (5)² + 2(0.25 x 10)

v² = 25 + 5

v² = 30

v = √30

v = 5.48 m/s

Thus, the final velocity of the tailback after traveling an additional 10 m is 5.48 m/s.

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