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A motorcyclist increases the velocity of his bike from 30.0 meters/second to 55.0 meter/second under a constant acceleration of 5.00 meters/second^2. How long does it take the bike to reach the final velocity?

Respuesta :

Lanuel

Answer:

Time, t = 5 seconds.

Explanation:

Given the following data;

Initial velocity = 30m/s

Final velocity = 55m/s

Acceleration = 5m/s²

To find the time, we would use the first equation of motion;

[tex] V = U + at[/tex]

Where;

  • V is the final velocity.
  • U is the initial velocity.
  • a is the acceleration.
  • t is the time measured in seconds.

Making time, t the subject of formula, we have;

[tex] t = \frac{V - U}{a}[/tex]

Substituting into the equation, we have;

[tex] t = \frac{55-30}{5}[/tex]

[tex] t = \frac{25}{5}[/tex]

Time, t = 5 seconds.

Therefore, it would take the bike 5 seconds to reach the final velocity.

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